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Finding the Fourth Proportional to 173,882.08, 239,978.46 and 102,258.64

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Solution

The fourth proportional to 173,882.08, 239,978.46 and 102,258.64 is: 141,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,882.08 : 239,978.46 = 102,258.64 : x
  2. Step 2: Convert to fraction form
    173,882.08/239,978.46 = 102,258.64/x
  3. Step 3: Cross multiply
    173,882.08x = 239,978.46 × 102,258.64
  4. Step 4: Simplify right side
    173,882.08x = 24,539,870,948.89
  5. Step 5: Solve for x
    x = 24,539,870,948.89/173,882.08
  6. Step 6: Final answer
    x = 141,129.38

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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.