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Finding the Fourth Proportional to 283,301.10, 424,951.65 and 96,312.60

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Solution

The fourth proportional to 283,301.10, 424,951.65 and 96,312.60 is: 144,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,301.10 : 424,951.65 = 96,312.60 : x
  2. Step 2: Convert to fraction form
    283,301.10/424,951.65 = 96,312.60/x
  3. Step 3: Cross multiply
    283,301.10x = 424,951.65 × 96,312.60
  4. Step 4: Simplify right side
    283,301.10x = 40,928,198,285.79
  5. Step 5: Solve for x
    x = 40,928,198,285.79/283,301.10
  6. Step 6: Final answer
    x = 144,468.90

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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.