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Finding the Fourth Proportional to 189,447.40, 284,027.10 and 96,020.20

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Solution

The fourth proportional to 189,447.40, 284,027.10 and 96,020.20 is: 143,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,447.40 : 284,027.10 = 96,020.20 : x
  2. Step 2: Convert to fraction form
    189,447.40/284,027.10 = 96,020.20/x
  3. Step 3: Cross multiply
    189,447.40x = 284,027.10 × 96,020.20
  4. Step 4: Simplify right side
    189,447.40x = 27,272,338,947.42
  5. Step 5: Solve for x
    x = 27,272,338,947.42/189,447.40
  6. Step 6: Final answer
    x = 143,957.31

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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.