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Finding the Fourth Proportional to 178,042.91, 245,698.83 and 97,469.78

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Solution

The fourth proportional to 178,042.91, 245,698.83 and 97,469.78 is: 134,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,042.91 : 245,698.83 = 97,469.78 : x
  2. Step 2: Convert to fraction form
    178,042.91/245,698.83 = 97,469.78/x
  3. Step 3: Cross multiply
    178,042.91x = 245,698.83 × 97,469.78
  4. Step 4: Simplify right side
    178,042.91x = 23,948,209,677.86
  5. Step 5: Solve for x
    x = 23,948,209,677.86/178,042.91
  6. Step 6: Final answer
    x = 134,508.08

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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.