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Finding the Fourth Proportional to 178,115.64, 245,799.90 and 96,444.78

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Solution

The fourth proportional to 178,115.64, 245,799.90 and 96,444.78 is: 133,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,115.64 : 245,799.90 = 96,444.78 : x
  2. Step 2: Convert to fraction form
    178,115.64/245,799.90 = 96,444.78/x
  3. Step 3: Cross multiply
    178,115.64x = 245,799.90 × 96,444.78
  4. Step 4: Simplify right side
    178,115.64x = 23,706,117,279.52
  5. Step 5: Solve for x
    x = 23,706,117,279.52/178,115.64
  6. Step 6: Final answer
    x = 133,093.97

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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.