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Finding the Fourth Proportional to 159,031.38, 219,460.46 and 87,411.39

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Solution

The fourth proportional to 159,031.38, 219,460.46 and 87,411.39 is: 120,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,031.38 : 219,460.46 = 87,411.39 : x
  2. Step 2: Convert to fraction form
    159,031.38/219,460.46 = 87,411.39/x
  3. Step 3: Cross multiply
    159,031.38x = 219,460.46 × 87,411.39
  4. Step 4: Simplify right side
    159,031.38x = 19,183,343,858.64
  5. Step 5: Solve for x
    x = 19,183,343,858.64/159,031.38
  6. Step 6: Final answer
    x = 120,626.15

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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.