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Finding the Fourth Proportional to 137,046.30, 189,131.67 and 77,430.30

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Solution

The fourth proportional to 137,046.30, 189,131.67 and 77,430.30 is: 106,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,046.30 : 189,131.67 = 77,430.30 : x
  2. Step 2: Convert to fraction form
    137,046.30/189,131.67 = 77,430.30/x
  3. Step 3: Cross multiply
    137,046.30x = 189,131.67 × 77,430.30
  4. Step 4: Simplify right side
    137,046.30x = 14,644,521,947.60
  5. Step 5: Solve for x
    x = 14,644,521,947.60/137,046.30
  6. Step 6: Final answer
    x = 106,858.21

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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.