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Finding the Fourth Proportional to 159,414.41, 239,065.19 and 47,064.58

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Solution

The fourth proportional to 159,414.41, 239,065.19 and 47,064.58 is: 70,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,414.41 : 239,065.19 = 47,064.58 : x
  2. Step 2: Convert to fraction form
    159,414.41/239,065.19 = 47,064.58/x
  3. Step 3: Cross multiply
    159,414.41x = 239,065.19 × 47,064.58
  4. Step 4: Simplify right side
    159,414.41x = 11,251,502,103.48
  5. Step 5: Solve for x
    x = 11,251,502,103.48/159,414.41
  6. Step 6: Final answer
    x = 70,580.21

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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.