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Finding the Fourth Proportional to 144,051.98, 216,077.96 and 38,870.78

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Solution

The fourth proportional to 144,051.98, 216,077.96 and 38,870.78 is: 58,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051.98 : 216,077.96 = 38,870.78 : x
  2. Step 2: Convert to fraction form
    144,051.98/216,077.96 = 38,870.78/x
  3. Step 3: Cross multiply
    144,051.98x = 216,077.96 × 38,870.78
  4. Step 4: Simplify right side
    144,051.98x = 8,399,117,862.80
  5. Step 5: Solve for x
    x = 8,399,117,862.80/144,051.98
  6. Step 6: Final answer
    x = 58,306.16

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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.