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Finding the Fourth Proportional to 116,225.20, 174,337.80 and 31,985.20

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Solution

The fourth proportional to 116,225.20, 174,337.80 and 31,985.20 is: 47,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,225.20 : 174,337.80 = 31,985.20 : x
  2. Step 2: Convert to fraction form
    116,225.20/174,337.80 = 31,985.20/x
  3. Step 3: Cross multiply
    116,225.20x = 174,337.80 × 31,985.20
  4. Step 4: Simplify right side
    116,225.20x = 5,576,229,400.56
  5. Step 5: Solve for x
    x = 5,576,229,400.56/116,225.20
  6. Step 6: Final answer
    x = 47,977.80

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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.