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Finding the Fourth Proportional to 168,506.50, 252,954.16 and 85,575.46

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Solution

The fourth proportional to 168,506.50, 252,954.16 and 85,575.46 is: 128,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,506.50 : 252,954.16 = 85,575.46 : x
  2. Step 2: Convert to fraction form
    168,506.50/252,954.16 = 85,575.46/x
  3. Step 3: Cross multiply
    168,506.50x = 252,954.16 × 85,575.46
  4. Step 4: Simplify right side
    168,506.50x = 21,646,668,600.91
  5. Step 5: Solve for x
    x = 21,646,668,600.91/168,506.50
  6. Step 6: Final answer
    x = 128,461.92

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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.