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Finding the Fourth Proportional to 177,582.60, 266,082.30 and 147,839.40

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Solution

The fourth proportional to 177,582.60, 266,082.30 and 147,839.40 is: 221,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,582.60 : 266,082.30 = 147,839.40 : x
  2. Step 2: Convert to fraction form
    177,582.60/266,082.30 = 147,839.40/x
  3. Step 3: Cross multiply
    177,582.60x = 266,082.30 × 147,839.40
  4. Step 4: Simplify right side
    177,582.60x = 39,337,447,582.62
  5. Step 5: Solve for x
    x = 39,337,447,582.62/177,582.60
  6. Step 6: Final answer
    x = 221,516.34

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Why These Related Problems?

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