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Finding the Fourth Proportional to 106,201.92, 146,535.12 and 61,464

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Solution

The fourth proportional to 106,201.92, 146,535.12 and 61,464 is: 84,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,201.92 : 146,535.12 = 61,464 : x
  2. Step 2: Convert to fraction form
    106,201.92/146,535.12 = 61,464/x
  3. Step 3: Cross multiply
    106,201.92x = 146,535.12 × 61,464
  4. Step 4: Simplify right side
    106,201.92x = 9,006,634,615.68
  5. Step 5: Solve for x
    x = 9,006,634,615.68/106,201.92
  6. Step 6: Final answer
    x = 84,806.70

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Why These Related Problems?

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