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Finding the Fourth Proportional to 147,896.52, 204,097.26 and 80,828.52

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Solution

The fourth proportional to 147,896.52, 204,097.26 and 80,828.52 is: 111,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,896.52 : 204,097.26 = 80,828.52 : x
  2. Step 2: Convert to fraction form
    147,896.52/204,097.26 = 80,828.52/x
  3. Step 3: Cross multiply
    147,896.52x = 204,097.26 × 80,828.52
  4. Step 4: Simplify right side
    147,896.52x = 16,496,879,461.86
  5. Step 5: Solve for x
    x = 16,496,879,461.86/147,896.52
  6. Step 6: Final answer
    x = 111,543.39

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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.