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Finding the Fourth Proportional to 105,734.49, 145,921.32 and 60,411.50

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Solution

The fourth proportional to 105,734.49, 145,921.32 and 60,411.50 is: 83,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,734.49 : 145,921.32 = 60,411.50 : x
  2. Step 2: Convert to fraction form
    105,734.49/145,921.32 = 60,411.50/x
  3. Step 3: Cross multiply
    105,734.49x = 145,921.32 × 60,411.50
  4. Step 4: Simplify right side
    105,734.49x = 8,815,326,187.98
  5. Step 5: Solve for x
    x = 8,815,326,187.98/105,734.49
  6. Step 6: Final answer
    x = 83,372.29

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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.