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Finding the Fourth Proportional to 253,839.20, 380,632 and 83,038.62

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Solution

The fourth proportional to 253,839.20, 380,632 and 83,038.62 is: 124,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,839.20 : 380,632 = 83,038.62 : x
  2. Step 2: Convert to fraction form
    253,839.20/380,632 = 83,038.62/x
  3. Step 3: Cross multiply
    253,839.20x = 380,632 × 83,038.62
  4. Step 4: Simplify right side
    253,839.20x = 31,607,156,007.84
  5. Step 5: Solve for x
    x = 31,607,156,007.84/253,839.20
  6. Step 6: Final answer
    x = 124,516.45

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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.