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Finding the Fourth Proportional to 178,132.40, 266,680.20 and 157,396.40

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Solution

The fourth proportional to 178,132.40, 266,680.20 and 157,396.40 is: 235,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,132.40 : 266,680.20 = 157,396.40 : x
  2. Step 2: Convert to fraction form
    178,132.40/266,680.20 = 157,396.40/x
  3. Step 3: Cross multiply
    178,132.40x = 266,680.20 × 157,396.40
  4. Step 4: Simplify right side
    178,132.40x = 41,974,503,431.28
  5. Step 5: Solve for x
    x = 41,974,503,431.28/178,132.40
  6. Step 6: Final answer
    x = 235,636.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.