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Finding the Fourth Proportional to 283,043.52, 424,594.98 and 140,924.04

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Solution

The fourth proportional to 283,043.52, 424,594.98 and 140,924.04 is: 211,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,043.52 : 424,594.98 = 140,924.04 : x
  2. Step 2: Convert to fraction form
    283,043.52/424,594.98 = 140,924.04/x
  3. Step 3: Cross multiply
    283,043.52x = 424,594.98 × 140,924.04
  4. Step 4: Simplify right side
    283,043.52x = 59,835,639,945.32
  5. Step 5: Solve for x
    x = 59,835,639,945.32/283,043.52
  6. Step 6: Final answer
    x = 211,400.85

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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.