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Finding the Fourth Proportional to 154,102.08, 231,154.08 and 47,484.72

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Solution

The fourth proportional to 154,102.08, 231,154.08 and 47,484.72 is: 71,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102.08 : 231,154.08 = 47,484.72 : x
  2. Step 2: Convert to fraction form
    154,102.08/231,154.08 = 47,484.72/x
  3. Step 3: Cross multiply
    154,102.08x = 231,154.08 × 47,484.72
  4. Step 4: Simplify right side
    154,102.08x = 10,976,286,765.66
  5. Step 5: Solve for x
    x = 10,976,286,765.66/154,102.08
  6. Step 6: Final answer
    x = 71,227.38

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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.