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Finding the Fourth Proportional to 193,195.56, 266,519.16 and 136,638.12

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Solution

The fourth proportional to 193,195.56, 266,519.16 and 136,638.12 is: 188,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,195.56 : 266,519.16 = 136,638.12 : x
  2. Step 2: Convert to fraction form
    193,195.56/266,519.16 = 136,638.12/x
  3. Step 3: Cross multiply
    193,195.56x = 266,519.16 × 136,638.12
  4. Step 4: Simplify right side
    193,195.56x = 36,416,676,966.38
  5. Step 5: Solve for x
    x = 36,416,676,966.38/193,195.56
  6. Step 6: Final answer
    x = 188,496.45

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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.