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Finding the Fourth Proportional to 144,471.93, 216,654 and 49,675.29

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Solution

The fourth proportional to 144,471.93, 216,654 and 49,675.29 is: 74,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,471.93 : 216,654 = 49,675.29 : x
  2. Step 2: Convert to fraction form
    144,471.93/216,654 = 49,675.29/x
  3. Step 3: Cross multiply
    144,471.93x = 216,654 × 49,675.29
  4. Step 4: Simplify right side
    144,471.93x = 10,762,350,279.66
  5. Step 5: Solve for x
    x = 10,762,350,279.66/144,471.93
  6. Step 6: Final answer
    x = 74,494.40

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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.