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Finding the Fourth Proportional to 106,347.13, 146,757.49 and 61,024.12

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Solution

The fourth proportional to 106,347.13, 146,757.49 and 61,024.12 is: 84,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,347.13 : 146,757.49 = 61,024.12 : x
  2. Step 2: Convert to fraction form
    106,347.13/146,757.49 = 61,024.12/x
  3. Step 3: Cross multiply
    106,347.13x = 146,757.49 × 61,024.12
  4. Step 4: Simplify right side
    106,347.13x = 8,955,746,161.20
  5. Step 5: Solve for x
    x = 8,955,746,161.20/106,347.13
  6. Step 6: Final answer
    x = 84,212.39

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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.