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Finding the Fourth Proportional to 178,151.27, 245,848.10 and 97,578.54

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Solution

The fourth proportional to 178,151.27, 245,848.10 and 97,578.54 is: 134,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,151.27 : 245,848.10 = 97,578.54 : x
  2. Step 2: Convert to fraction form
    178,151.27/245,848.10 = 97,578.54/x
  3. Step 3: Cross multiply
    178,151.27x = 245,848.10 × 97,578.54
  4. Step 4: Simplify right side
    178,151.27x = 23,989,498,171.88
  5. Step 5: Solve for x
    x = 23,989,498,171.88/178,151.27
  6. Step 6: Final answer
    x = 134,658.03

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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.