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Finding the Fourth Proportional to 176,082.80, 263,951.40 and 157,420.40

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Solution

The fourth proportional to 176,082.80, 263,951.40 and 157,420.40 is: 235,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,082.80 : 263,951.40 = 157,420.40 : x
  2. Step 2: Convert to fraction form
    176,082.80/263,951.40 = 157,420.40/x
  3. Step 3: Cross multiply
    176,082.80x = 263,951.40 × 157,420.40
  4. Step 4: Simplify right side
    176,082.80x = 41,551,334,968.56
  5. Step 5: Solve for x
    x = 41,551,334,968.56/176,082.80
  6. Step 6: Final answer
    x = 235,976.11

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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.