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Finding the Fourth Proportional to 138,143.66, 190,622.79 and 77,713.05

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Solution

The fourth proportional to 138,143.66, 190,622.79 and 77,713.05 is: 107,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,143.66 : 190,622.79 = 77,713.05 : x
  2. Step 2: Convert to fraction form
    138,143.66/190,622.79 = 77,713.05/x
  3. Step 3: Cross multiply
    138,143.66x = 190,622.79 × 77,713.05
  4. Step 4: Simplify right side
    138,143.66x = 14,813,878,410.41
  5. Step 5: Solve for x
    x = 14,813,878,410.41/138,143.66
  6. Step 6: Final answer
    x = 107,235.32

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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.