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Finding the Fourth Proportional to 213,082.57, 319,399.14 and 70,889.76

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Solution

The fourth proportional to 213,082.57, 319,399.14 and 70,889.76 is: 106,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,082.57 : 319,399.14 = 70,889.76 : x
  2. Step 2: Convert to fraction form
    213,082.57/319,399.14 = 70,889.76/x
  3. Step 3: Cross multiply
    213,082.57x = 319,399.14 × 70,889.76
  4. Step 4: Simplify right side
    213,082.57x = 22,642,128,378.81
  5. Step 5: Solve for x
    x = 22,642,128,378.81/213,082.57
  6. Step 6: Final answer
    x = 106,259.88

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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.