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Finding the Fourth Proportional to 189,541.80, 284,312.70 and 96,229.80

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Solution

The fourth proportional to 189,541.80, 284,312.70 and 96,229.80 is: 144,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,541.80 : 284,312.70 = 96,229.80 : x
  2. Step 2: Convert to fraction form
    189,541.80/284,312.70 = 96,229.80/x
  3. Step 3: Cross multiply
    189,541.80x = 284,312.70 × 96,229.80
  4. Step 4: Simplify right side
    189,541.80x = 27,359,354,258.46
  5. Step 5: Solve for x
    x = 27,359,354,258.46/189,541.80
  6. Step 6: Final answer
    x = 144,344.70

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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.