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Finding the Fourth Proportional to 96,009.84, 143,898.13 and 67,938.10

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Solution

The fourth proportional to 96,009.84, 143,898.13 and 67,938.10 is: 101,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,009.84 : 143,898.13 = 67,938.10 : x
  2. Step 2: Convert to fraction form
    96,009.84/143,898.13 = 67,938.10/x
  3. Step 3: Cross multiply
    96,009.84x = 143,898.13 × 67,938.10
  4. Step 4: Simplify right side
    96,009.84x = 9,776,165,545.75
  5. Step 5: Solve for x
    x = 9,776,165,545.75/96,009.84
  6. Step 6: Final answer
    x = 101,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.