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Finding the Fourth Proportional to 147,896.88, 204,097.69 and 80,828.88

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Solution

The fourth proportional to 147,896.88, 204,097.69 and 80,828.88 is: 111,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,896.88 : 204,097.69 = 80,828.88 : x
  2. Step 2: Convert to fraction form
    147,896.88/204,097.69 = 80,828.88/x
  3. Step 3: Cross multiply
    147,896.88x = 204,097.69 × 80,828.88
  4. Step 4: Simplify right side
    147,896.88x = 16,496,987,693.29
  5. Step 5: Solve for x
    x = 16,496,987,693.29/147,896.88
  6. Step 6: Final answer
    x = 111,543.85

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1.5x scale

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.