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Finding the Fourth Proportional to 200,580.48, 300,831.72 and 75,931.20

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Solution

The fourth proportional to 200,580.48, 300,831.72 and 75,931.20 is: 113,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,580.48 : 300,831.72 = 75,931.20 : x
  2. Step 2: Convert to fraction form
    200,580.48/300,831.72 = 75,931.20/x
  3. Step 3: Cross multiply
    200,580.48x = 300,831.72 × 75,931.20
  4. Step 4: Simplify right side
    200,580.48x = 22,842,513,497.66
  5. Step 5: Solve for x
    x = 22,842,513,497.66/200,580.48
  6. Step 6: Final answer
    x = 113,882.04

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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.