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Finding the Fourth Proportional to 154,541.86, 213,253.42 and 87,473.86

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Solution

The fourth proportional to 154,541.86, 213,253.42 and 87,473.86 is: 120,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,541.86 : 213,253.42 = 87,473.86 : x
  2. Step 2: Convert to fraction form
    154,541.86/213,253.42 = 87,473.86/x
  3. Step 3: Cross multiply
    154,541.86x = 213,253.42 × 87,473.86
  4. Step 4: Simplify right side
    154,541.86x = 18,654,098,301.96
  5. Step 5: Solve for x
    x = 18,654,098,301.96/154,541.86
  6. Step 6: Final answer
    x = 120,705.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.