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Finding the Fourth Proportional to 243,778.69, 365,707 and 75,259.41

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Solution

The fourth proportional to 243,778.69, 365,707 and 75,259.41 is: 112,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,778.69 : 365,707 = 75,259.41 : x
  2. Step 2: Convert to fraction form
    243,778.69/365,707 = 75,259.41/x
  3. Step 3: Cross multiply
    243,778.69x = 365,707 × 75,259.41
  4. Step 4: Simplify right side
    243,778.69x = 27,522,893,052.87
  5. Step 5: Solve for x
    x = 27,522,893,052.87/243,778.69
  6. Step 6: Final answer
    x = 112,901.14

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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.