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Finding the Fourth Proportional to 78,259.14, 117,053.70 and 72,586.61

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Solution

The fourth proportional to 78,259.14, 117,053.70 and 72,586.61 is: 108,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,259.14 : 117,053.70 = 72,586.61 : x
  2. Step 2: Convert to fraction form
    78,259.14/117,053.70 = 72,586.61/x
  3. Step 3: Cross multiply
    78,259.14x = 117,053.70 × 72,586.61
  4. Step 4: Simplify right side
    78,259.14x = 8,496,531,270.96
  5. Step 5: Solve for x
    x = 8,496,531,270.96/78,259.14
  6. Step 6: Final answer
    x = 108,569.19

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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.