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Finding the Fourth Proportional to 283,287.70, 424,931.55 and 96,299.20

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Solution

The fourth proportional to 283,287.70, 424,931.55 and 96,299.20 is: 144,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,287.70 : 424,931.55 = 96,299.20 : x
  2. Step 2: Convert to fraction form
    283,287.70/424,931.55 = 96,299.20/x
  3. Step 3: Cross multiply
    283,287.70x = 424,931.55 × 96,299.20
  4. Step 4: Simplify right side
    283,287.70x = 40,920,568,319.76
  5. Step 5: Solve for x
    x = 40,920,568,319.76/283,287.70
  6. Step 6: Final answer
    x = 144,448.80

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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.