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Finding the Fourth Proportional to 159,002.61, 219,421.08 and 87,381.09

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Solution

The fourth proportional to 159,002.61, 219,421.08 and 87,381.09 is: 120,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,002.61 : 219,421.08 = 87,381.09 : x
  2. Step 2: Convert to fraction form
    159,002.61/219,421.08 = 87,381.09/x
  3. Step 3: Cross multiply
    159,002.61x = 219,421.08 × 87,381.09
  4. Step 4: Simplify right side
    159,002.61x = 19,173,253,139.38
  5. Step 5: Solve for x
    x = 19,173,253,139.38/159,002.61
  6. Step 6: Final answer
    x = 120,584.52

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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.