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Finding the Fourth Proportional to 176,685.01, 243,770.29 and 100,198.10

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Solution

The fourth proportional to 176,685.01, 243,770.29 and 100,198.10 is: 138,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,685.01 : 243,770.29 = 100,198.10 : x
  2. Step 2: Convert to fraction form
    176,685.01/243,770.29 = 100,198.10/x
  3. Step 3: Cross multiply
    176,685.01x = 243,770.29 × 100,198.10
  4. Step 4: Simplify right side
    176,685.01x = 24,425,320,253.38
  5. Step 5: Solve for x
    x = 24,425,320,253.38/176,685.01
  6. Step 6: Final answer
    x = 138,242.18

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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.