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Finding the Fourth Proportional to 205,149.60, 307,724.40 and 105,616.80

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Solution

The fourth proportional to 205,149.60, 307,724.40 and 105,616.80 is: 158,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,149.60 : 307,724.40 = 105,616.80 : x
  2. Step 2: Convert to fraction form
    205,149.60/307,724.40 = 105,616.80/x
  3. Step 3: Cross multiply
    205,149.60x = 307,724.40 × 105,616.80
  4. Step 4: Simplify right side
    205,149.60x = 32,500,866,409.92
  5. Step 5: Solve for x
    x = 32,500,866,409.92/205,149.60
  6. Step 6: Final answer
    x = 158,425.20

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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.