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Finding the Fourth Proportional to 85,814.40, 128,721.60 and 82,315.20

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Solution

The fourth proportional to 85,814.40, 128,721.60 and 82,315.20 is: 123,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814.40 : 128,721.60 = 82,315.20 : x
  2. Step 2: Convert to fraction form
    85,814.40/128,721.60 = 82,315.20/x
  3. Step 3: Cross multiply
    85,814.40x = 128,721.60 × 82,315.20
  4. Step 4: Simplify right side
    85,814.40x = 10,595,744,248.32
  5. Step 5: Solve for x
    x = 10,595,744,248.32/85,814.40
  6. Step 6: Final answer
    x = 123,472.80

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1.5x scale

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.