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Finding the Fourth Proportional to 314,057.76, 471,089.49 and 89,418.03

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Solution

The fourth proportional to 314,057.76, 471,089.49 and 89,418.03 is: 134,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,057.76 : 471,089.49 = 89,418.03 : x
  2. Step 2: Convert to fraction form
    314,057.76/471,089.49 = 89,418.03/x
  3. Step 3: Cross multiply
    314,057.76x = 471,089.49 × 89,418.03
  4. Step 4: Simplify right side
    314,057.76x = 42,123,894,149.50
  5. Step 5: Solve for x
    x = 42,123,894,149.50/314,057.76
  6. Step 6: Final answer
    x = 134,127.86

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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.