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Finding the Fourth Proportional to 506,059.40, 759,097.20 and 132,082.40

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Solution

The fourth proportional to 506,059.40, 759,097.20 and 132,082.40 is: 198,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,059.40 : 759,097.20 = 132,082.40 : x
  2. Step 2: Convert to fraction form
    506,059.40/759,097.20 = 132,082.40/x
  3. Step 3: Cross multiply
    506,059.40x = 759,097.20 × 132,082.40
  4. Step 4: Simplify right side
    506,059.40x = 100,263,380,009.28
  5. Step 5: Solve for x
    x = 100,263,380,009.28/506,059.40
  6. Step 6: Final answer
    x = 198,125.71

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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.