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Finding the Fourth Proportional to 283,142.65, 424,418.70 and 114,779.17

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Solution

The fourth proportional to 283,142.65, 424,418.70 and 114,779.17 is: 172,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,142.65 : 424,418.70 = 114,779.17 : x
  2. Step 2: Convert to fraction form
    283,142.65/424,418.70 = 114,779.17/x
  3. Step 3: Cross multiply
    283,142.65x = 424,418.70 × 114,779.17
  4. Step 4: Simplify right side
    283,142.65x = 48,714,426,118.48
  5. Step 5: Solve for x
    x = 48,714,426,118.48/283,142.65
  6. Step 6: Final answer
    x = 172,049.06

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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.