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Finding the Fourth Proportional to 268,267.50, 402,463.44 and 78,720.12

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Solution

The fourth proportional to 268,267.50, 402,463.44 and 78,720.12 is: 118,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,267.50 : 402,463.44 = 78,720.12 : x
  2. Step 2: Convert to fraction form
    268,267.50/402,463.44 = 78,720.12/x
  3. Step 3: Cross multiply
    268,267.50x = 402,463.44 × 78,720.12
  4. Step 4: Simplify right side
    268,267.50x = 31,681,970,292.41
  5. Step 5: Solve for x
    x = 31,681,970,292.41/268,267.50
  6. Step 6: Final answer
    x = 118,098.43

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