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Finding the Fourth Proportional to 189,082.16, 283,522.88 and 55,944.08

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Solution

The fourth proportional to 189,082.16, 283,522.88 and 55,944.08 is: 83,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,082.16 : 283,522.88 = 55,944.08 : x
  2. Step 2: Convert to fraction form
    189,082.16/283,522.88 = 55,944.08/x
  3. Step 3: Cross multiply
    189,082.16x = 283,522.88 × 55,944.08
  4. Step 4: Simplify right side
    189,082.16x = 15,861,426,680.55
  5. Step 5: Solve for x
    x = 15,861,426,680.55/189,082.16
  6. Step 6: Final answer
    x = 83,886.43

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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.