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Finding the Fourth Proportional to 193,500.80, 267,086.76 and 117,020

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Solution

The fourth proportional to 193,500.80, 267,086.76 and 117,020 is: 161,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,500.80 : 267,086.76 = 117,020 : x
  2. Step 2: Convert to fraction form
    193,500.80/267,086.76 = 117,020/x
  3. Step 3: Cross multiply
    193,500.80x = 267,086.76 × 117,020
  4. Step 4: Simplify right side
    193,500.80x = 31,254,492,655.20
  5. Step 5: Solve for x
    x = 31,254,492,655.20/193,500.80
  6. Step 6: Final answer
    x = 161,521.26

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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.