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Finding the Fourth Proportional to 133,691.31, 200,527.09 and 49,412.13

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Solution

The fourth proportional to 133,691.31, 200,527.09 and 49,412.13 is: 74,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.31 : 200,527.09 = 49,412.13 : x
  2. Step 2: Convert to fraction form
    133,691.31/200,527.09 = 49,412.13/x
  3. Step 3: Cross multiply
    133,691.31x = 200,527.09 × 49,412.13
  4. Step 4: Simplify right side
    133,691.31x = 9,908,470,042.04
  5. Step 5: Solve for x
    x = 9,908,470,042.04/133,691.31
  6. Step 6: Final answer
    x = 74,114.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.