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Finding the Fourth Proportional to 153,879.48, 231,225.14 and 82,854.63

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Solution

The fourth proportional to 153,879.48, 231,225.14 and 82,854.63 is: 124,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,879.48 : 231,225.14 = 82,854.63 : x
  2. Step 2: Convert to fraction form
    153,879.48/231,225.14 = 82,854.63/x
  3. Step 3: Cross multiply
    153,879.48x = 231,225.14 × 82,854.63
  4. Step 4: Simplify right side
    153,879.48x = 19,158,073,421.40
  5. Step 5: Solve for x
    x = 19,158,073,421.40/153,879.48
  6. Step 6: Final answer
    x = 124,500.51

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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.