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Finding the Fourth Proportional to 148,613.66, 205,157.40 and 94,193

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Solution

The fourth proportional to 148,613.66, 205,157.40 and 94,193 is: 130,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,613.66 : 205,157.40 = 94,193 : x
  2. Step 2: Convert to fraction form
    148,613.66/205,157.40 = 94,193/x
  3. Step 3: Cross multiply
    148,613.66x = 205,157.40 × 94,193
  4. Step 4: Simplify right side
    148,613.66x = 19,324,390,978.20
  5. Step 5: Solve for x
    x = 19,324,390,978.20/148,613.66
  6. Step 6: Final answer
    x = 130,031.05

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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.