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Finding the Fourth Proportional to 314,108.50, 471,157.27 and 89,470.80

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Solution

The fourth proportional to 314,108.50, 471,157.27 and 89,470.80 is: 134,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,108.50 : 471,157.27 = 89,470.80 : x
  2. Step 2: Convert to fraction form
    314,108.50/471,157.27 = 89,470.80/x
  3. Step 3: Cross multiply
    314,108.50x = 471,157.27 × 89,470.80
  4. Step 4: Simplify right side
    314,108.50x = 42,154,817,872.72
  5. Step 5: Solve for x
    x = 42,154,817,872.72/314,108.50
  6. Step 6: Final answer
    x = 134,204.64

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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.