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Finding the Fourth Proportional to 173,856.38, 239,913.50 and 106,775.42

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Solution

The fourth proportional to 173,856.38, 239,913.50 and 106,775.42 is: 147,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,856.38 : 239,913.50 = 106,775.42 : x
  2. Step 2: Convert to fraction form
    173,856.38/239,913.50 = 106,775.42/x
  3. Step 3: Cross multiply
    173,856.38x = 239,913.50 × 106,775.42
  4. Step 4: Simplify right side
    173,856.38x = 25,616,864,726.17
  5. Step 5: Solve for x
    x = 25,616,864,726.17/173,856.38
  6. Step 6: Final answer
    x = 147,344.98

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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.