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Finding the Fourth Proportional to 243,632.70, 365,436.09 and 77,407.74

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Solution

The fourth proportional to 243,632.70, 365,436.09 and 77,407.74 is: 116,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,632.70 : 365,436.09 = 77,407.74 : x
  2. Step 2: Convert to fraction form
    243,632.70/365,436.09 = 77,407.74/x
  3. Step 3: Cross multiply
    243,632.70x = 365,436.09 × 77,407.74
  4. Step 4: Simplify right side
    243,632.70x = 28,287,581,841.34
  5. Step 5: Solve for x
    x = 28,287,581,841.34/243,632.70
  6. Step 6: Final answer
    x = 116,107.49

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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.