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Finding the Fourth Proportional to 410,035.92, 615,142.98 and 125,727.54

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Solution

The fourth proportional to 410,035.92, 615,142.98 and 125,727.54 is: 188,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,035.92 : 615,142.98 = 125,727.54 : x
  2. Step 2: Convert to fraction form
    410,035.92/615,142.98 = 125,727.54/x
  3. Step 3: Cross multiply
    410,035.92x = 615,142.98 × 125,727.54
  4. Step 4: Simplify right side
    410,035.92x = 77,340,413,623.67
  5. Step 5: Solve for x
    x = 77,340,413,623.67/410,035.92
  6. Step 6: Final answer
    x = 188,618.63

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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.