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Finding the Fourth Proportional to 159,029.97, 238,574.52 and 52,421.42

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Solution

The fourth proportional to 159,029.97, 238,574.52 and 52,421.42 is: 78,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.97 : 238,574.52 = 52,421.42 : x
  2. Step 2: Convert to fraction form
    159,029.97/238,574.52 = 52,421.42/x
  3. Step 3: Cross multiply
    159,029.97x = 238,574.52 × 52,421.42
  4. Step 4: Simplify right side
    159,029.97x = 12,506,413,921.35
  5. Step 5: Solve for x
    x = 12,506,413,921.35/159,029.97
  6. Step 6: Final answer
    x = 78,641.87

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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.