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Finding the Fourth Proportional to 142,113.64, 213,045.01 and 57,944.20

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Solution

The fourth proportional to 142,113.64, 213,045.01 and 57,944.20 is: 86,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,113.64 : 213,045.01 = 57,944.20 : x
  2. Step 2: Convert to fraction form
    142,113.64/213,045.01 = 57,944.20/x
  3. Step 3: Cross multiply
    142,113.64x = 213,045.01 × 57,944.20
  4. Step 4: Simplify right side
    142,113.64x = 12,344,722,668.44
  5. Step 5: Solve for x
    x = 12,344,722,668.44/142,113.64
  6. Step 6: Final answer
    x = 86,865.15

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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.