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Finding the Fourth Proportional to 178,227.60, 245,954.03 and 97,658.18

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Solution

The fourth proportional to 178,227.60, 245,954.03 and 97,658.18 is: 134,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,227.60 : 245,954.03 = 97,658.18 : x
  2. Step 2: Convert to fraction form
    178,227.60/245,954.03 = 97,658.18/x
  3. Step 3: Cross multiply
    178,227.60x = 245,954.03 × 97,658.18
  4. Step 4: Simplify right side
    178,227.60x = 24,019,422,933.47
  5. Step 5: Solve for x
    x = 24,019,422,933.47/178,227.60
  6. Step 6: Final answer
    x = 134,768.26

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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.