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Finding the Fourth Proportional to 137,275,395.76, 189,393,954.84 and 77,728,569.20

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Solution

The fourth proportional to 137,275,395.76, 189,393,954.84 and 77,728,569.20 is: 107,239,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,275,395.76 : 189,393,954.84 = 77,728,569.20 : x
  2. Step 2: Convert to fraction form
    137,275,395.76/189,393,954.84 = 77,728,569.20/x
  3. Step 3: Cross multiply
    137,275,395.76x = 189,393,954.84 × 77,728,569.20
  4. Step 4: Simplify right side
    137,275,395.76x = 14,721,321,124,842,616
  5. Step 5: Solve for x
    x = 14,721,321,124,842,616/137,275,395.76
  6. Step 6: Final answer
    x = 107,239,327.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.