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Finding the Fourth Proportional to 131,854.56, 197,814.24 and 38,361.12

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Solution

The fourth proportional to 131,854.56, 197,814.24 and 38,361.12 is: 57,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,854.56 : 197,814.24 = 38,361.12 : x
  2. Step 2: Convert to fraction form
    131,854.56/197,814.24 = 38,361.12/x
  3. Step 3: Cross multiply
    131,854.56x = 197,814.24 × 38,361.12
  4. Step 4: Simplify right side
    131,854.56x = 7,588,375,798.35
  5. Step 5: Solve for x
    x = 7,588,375,798.35/131,854.56
  6. Step 6: Final answer
    x = 57,551.11

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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.