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Finding the Fourth Proportional to 178,033.05, 245,691.42 and 97,460.58

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Solution

The fourth proportional to 178,033.05, 245,691.42 and 97,460.58 is: 134,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,033.05 : 245,691.42 = 97,460.58 : x
  2. Step 2: Convert to fraction form
    178,033.05/245,691.42 = 97,460.58/x
  3. Step 3: Cross multiply
    178,033.05x = 245,691.42 × 97,460.58
  4. Step 4: Simplify right side
    178,033.05x = 23,945,228,294.22
  5. Step 5: Solve for x
    x = 23,945,228,294.22/178,033.05
  6. Step 6: Final answer
    x = 134,498.78

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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.