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Finding the Fourth Proportional to 178,042.11, 245,698.10 and 97,469.39

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Solution

The fourth proportional to 178,042.11, 245,698.10 and 97,469.39 is: 134,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,042.11 : 245,698.10 = 97,469.39 : x
  2. Step 2: Convert to fraction form
    178,042.11/245,698.10 = 97,469.39/x
  3. Step 3: Cross multiply
    178,042.11x = 245,698.10 × 97,469.39
  4. Step 4: Simplify right side
    178,042.11x = 23,948,042,215.32
  5. Step 5: Solve for x
    x = 23,948,042,215.32/178,042.11
  6. Step 6: Final answer
    x = 134,507.74

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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.