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Finding the Fourth Proportional to 506,117.82, 759,177.04 and 132,140.82

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Solution

The fourth proportional to 506,117.82, 759,177.04 and 132,140.82 is: 198,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,117.82 : 759,177.04 = 132,140.82 : x
  2. Step 2: Convert to fraction form
    506,117.82/759,177.04 = 132,140.82/x
  3. Step 3: Cross multiply
    506,117.82x = 759,177.04 × 132,140.82
  4. Step 4: Simplify right side
    506,117.82x = 100,318,276,590.77
  5. Step 5: Solve for x
    x = 100,318,276,590.77/506,117.82
  6. Step 6: Final answer
    x = 198,211.31

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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.