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Finding the Fourth Proportional to 201,126.74, 301,686.15 and 81,180.50

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Solution

The fourth proportional to 201,126.74, 301,686.15 and 81,180.50 is: 121,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126.74 : 301,686.15 = 81,180.50 : x
  2. Step 2: Convert to fraction form
    201,126.74/301,686.15 = 81,180.50/x
  3. Step 3: Cross multiply
    201,126.74x = 301,686.15 × 81,180.50
  4. Step 4: Simplify right side
    201,126.74x = 24,491,032,500.08
  5. Step 5: Solve for x
    x = 24,491,032,500.08/201,126.74
  6. Step 6: Final answer
    x = 121,769.15

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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.