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Finding the Fourth Proportional to 94,654.40, 141,830.40 and 50,223.20

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Solution

The fourth proportional to 94,654.40, 141,830.40 and 50,223.20 is: 75,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,654.40 : 141,830.40 = 50,223.20 : x
  2. Step 2: Convert to fraction form
    94,654.40/141,830.40 = 50,223.20/x
  3. Step 3: Cross multiply
    94,654.40x = 141,830.40 × 50,223.20
  4. Step 4: Simplify right side
    94,654.40x = 7,123,176,545.28
  5. Step 5: Solve for x
    x = 7,123,176,545.28/94,654.40
  6. Step 6: Final answer
    x = 75,254.57

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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.