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Finding the Fourth Proportional to 116,221.20, 174,331.80 and 31,981.20

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Solution

The fourth proportional to 116,221.20, 174,331.80 and 31,981.20 is: 47,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,221.20 : 174,331.80 = 31,981.20 : x
  2. Step 2: Convert to fraction form
    116,221.20/174,331.80 = 31,981.20/x
  3. Step 3: Cross multiply
    116,221.20x = 174,331.80 × 31,981.20
  4. Step 4: Simplify right side
    116,221.20x = 5,575,340,162.16
  5. Step 5: Solve for x
    x = 5,575,340,162.16/116,221.20
  6. Step 6: Final answer
    x = 47,971.80

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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.