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Finding the Fourth Proportional to 215,170.16, 296,930.56 and 119,674.80

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Solution

The fourth proportional to 215,170.16, 296,930.56 and 119,674.80 is: 165,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,170.16 : 296,930.56 = 119,674.80 : x
  2. Step 2: Convert to fraction form
    215,170.16/296,930.56 = 119,674.80/x
  3. Step 3: Cross multiply
    215,170.16x = 296,930.56 × 119,674.80
  4. Step 4: Simplify right side
    215,170.16x = 35,535,105,381.89
  5. Step 5: Solve for x
    x = 35,535,105,381.89/215,170.16
  6. Step 6: Final answer
    x = 165,148.85

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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.