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Finding the Fourth Proportional to 199,475.34, 275,248.68 and 114,592.38

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Solution

The fourth proportional to 199,475.34, 275,248.68 and 114,592.38 is: 158,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,475.34 : 275,248.68 = 114,592.38 : x
  2. Step 2: Convert to fraction form
    199,475.34/275,248.68 = 114,592.38/x
  3. Step 3: Cross multiply
    199,475.34x = 275,248.68 × 114,592.38
  4. Step 4: Simplify right side
    199,475.34x = 31,541,401,333.06
  5. Step 5: Solve for x
    x = 31,541,401,333.06/199,475.34
  6. Step 6: Final answer
    x = 158,121.81

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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.