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Finding the Fourth Proportional to 178,171.52, 245,866.20 and 97,583

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Solution

The fourth proportional to 178,171.52, 245,866.20 and 97,583 is: 134,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,171.52 : 245,866.20 = 97,583 : x
  2. Step 2: Convert to fraction form
    178,171.52/245,866.20 = 97,583/x
  3. Step 3: Cross multiply
    178,171.52x = 245,866.20 × 97,583
  4. Step 4: Simplify right side
    178,171.52x = 23,992,361,394.60
  5. Step 5: Solve for x
    x = 23,992,361,394.60/178,171.52
  6. Step 6: Final answer
    x = 134,658.79

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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.