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Finding the Fourth Proportional to 270,831.70, 406,285.35 and 113,023.98

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Solution

The fourth proportional to 270,831.70, 406,285.35 and 113,023.98 is: 169,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,831.70 : 406,285.35 = 113,023.98 : x
  2. Step 2: Convert to fraction form
    270,831.70/406,285.35 = 113,023.98/x
  3. Step 3: Cross multiply
    270,831.70x = 406,285.35 × 113,023.98
  4. Step 4: Simplify right side
    270,831.70x = 45,919,987,272.69
  5. Step 5: Solve for x
    x = 45,919,987,272.69/270,831.70
  6. Step 6: Final answer
    x = 169,551.74

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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.