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Finding the Fourth Proportional to 282,682.40, 424,023.60 and 124,743.20

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Solution

The fourth proportional to 282,682.40, 424,023.60 and 124,743.20 is: 187,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,682.40 : 424,023.60 = 124,743.20 : x
  2. Step 2: Convert to fraction form
    282,682.40/424,023.60 = 124,743.20/x
  3. Step 3: Cross multiply
    282,682.40x = 424,023.60 × 124,743.20
  4. Step 4: Simplify right side
    282,682.40x = 52,894,060,739.52
  5. Step 5: Solve for x
    x = 52,894,060,739.52/282,682.40
  6. Step 6: Final answer
    x = 187,114.80

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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.