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Finding the Fourth Proportional to 283,179, 424,834.20 and 96,190.68

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Solution

The fourth proportional to 283,179, 424,834.20 and 96,190.68 is: 144,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,179 : 424,834.20 = 96,190.68 : x
  2. Step 2: Convert to fraction form
    283,179/424,834.20 = 96,190.68/x
  3. Step 3: Cross multiply
    283,179x = 424,834.20 × 96,190.68
  4. Step 4: Simplify right side
    283,179x = 40,865,090,585.26
  5. Step 5: Solve for x
    x = 40,865,090,585.26/283,179
  6. Step 6: Final answer
    x = 144,308.34

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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.