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Finding the Fourth Proportional to 148,613.56, 205,101.12 and 84,939.24

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Solution

The fourth proportional to 148,613.56, 205,101.12 and 84,939.24 is: 117,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,613.56 : 205,101.12 = 84,939.24 : x
  2. Step 2: Convert to fraction form
    148,613.56/205,101.12 = 84,939.24/x
  3. Step 3: Cross multiply
    148,613.56x = 205,101.12 × 84,939.24
  4. Step 4: Simplify right side
    148,613.56x = 17,421,133,255.95
  5. Step 5: Solve for x
    x = 17,421,133,255.95/148,613.56
  6. Step 6: Final answer
    x = 117,224.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.