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Finding the Fourth Proportional to 205,149.60, 307,724.40 and 173,656.80

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Solution

The fourth proportional to 205,149.60, 307,724.40 and 173,656.80 is: 260,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,149.60 : 307,724.40 = 173,656.80 : x
  2. Step 2: Convert to fraction form
    205,149.60/307,724.40 = 173,656.80/x
  3. Step 3: Cross multiply
    205,149.60x = 307,724.40 × 173,656.80
  4. Step 4: Simplify right side
    205,149.60x = 53,438,434,585.92
  5. Step 5: Solve for x
    x = 53,438,434,585.92/205,149.60
  6. Step 6: Final answer
    x = 260,485.20

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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.