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Finding the Fourth Proportional to 113,157.64, 169,478.10 and 54,034.96

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Solution

The fourth proportional to 113,157.64, 169,478.10 and 54,034.96 is: 80,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,157.64 : 169,478.10 = 54,034.96 : x
  2. Step 2: Convert to fraction form
    113,157.64/169,478.10 = 54,034.96/x
  3. Step 3: Cross multiply
    113,157.64x = 169,478.10 × 54,034.96
  4. Step 4: Simplify right side
    113,157.64x = 9,157,742,354.38
  5. Step 5: Solve for x
    x = 9,157,742,354.38/113,157.64
  6. Step 6: Final answer
    x = 80,929.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.