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Finding the Fourth Proportional to 283,136.68, 424,636.98 and 83,403.10

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Solution

The fourth proportional to 283,136.68, 424,636.98 and 83,403.10 is: 125,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,136.68 : 424,636.98 = 83,403.10 : x
  2. Step 2: Convert to fraction form
    283,136.68/424,636.98 = 83,403.10/x
  3. Step 3: Cross multiply
    283,136.68x = 424,636.98 × 83,403.10
  4. Step 4: Simplify right side
    283,136.68x = 35,416,040,506.64
  5. Step 5: Solve for x
    x = 35,416,040,506.64/283,136.68
  6. Step 6: Final answer
    x = 125,084.61

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1.5x scale

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.