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Finding the Fourth Proportional to 280,833.88, 387,532.38 and 159,957.40

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Solution

The fourth proportional to 280,833.88, 387,532.38 and 159,957.40 is: 220,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,833.88 : 387,532.38 = 159,957.40 : x
  2. Step 2: Convert to fraction form
    280,833.88/387,532.38 = 159,957.40/x
  3. Step 3: Cross multiply
    280,833.88x = 387,532.38 × 159,957.40
  4. Step 4: Simplify right side
    280,833.88x = 61,988,671,920.61
  5. Step 5: Solve for x
    x = 61,988,671,920.61/280,833.88
  6. Step 6: Final answer
    x = 220,730.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.