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Finding the Fourth Proportional to 157,896.33, 217,898.46 and 86,276.34

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Solution

The fourth proportional to 157,896.33, 217,898.46 and 86,276.34 is: 119,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.33 : 217,898.46 = 86,276.34 : x
  2. Step 2: Convert to fraction form
    157,896.33/217,898.46 = 86,276.34/x
  3. Step 3: Cross multiply
    157,896.33x = 217,898.46 × 86,276.34
  4. Step 4: Simplify right side
    157,896.33x = 18,799,481,620.44
  5. Step 5: Solve for x
    x = 18,799,481,620.44/157,896.33
  6. Step 6: Final answer
    x = 119,062.18

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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.