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Finding the Fourth Proportional to 102,474.30, 152,681.13 and 96,744.71

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Solution

The fourth proportional to 102,474.30, 152,681.13 and 96,744.71 is: 144,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,474.30 : 152,681.13 = 96,744.71 : x
  2. Step 2: Convert to fraction form
    102,474.30/152,681.13 = 96,744.71/x
  3. Step 3: Cross multiply
    102,474.30x = 152,681.13 × 96,744.71
  4. Step 4: Simplify right side
    102,474.30x = 14,771,092,026.03
  5. Step 5: Solve for x
    x = 14,771,092,026.03/102,474.30
  6. Step 6: Final answer
    x = 144,144.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.