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Finding the Fourth Proportional to 507,831.75, 761,793.80 and 133,854.75

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Solution

The fourth proportional to 507,831.75, 761,793.80 and 133,854.75 is: 200,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,831.75 : 761,793.80 = 133,854.75 : x
  2. Step 2: Convert to fraction form
    507,831.75/761,793.80 = 133,854.75/x
  3. Step 3: Cross multiply
    507,831.75x = 761,793.80 × 133,854.75
  4. Step 4: Simplify right side
    507,831.75x = 101,969,717,981.28
  5. Step 5: Solve for x
    x = 101,969,717,981.28/507,831.75
  6. Step 6: Final answer
    x = 200,794.29

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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.