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Finding the Fourth Proportional to 189,091.80, 283,637.70 and 83,921.40

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Solution

The fourth proportional to 189,091.80, 283,637.70 and 83,921.40 is: 125,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,091.80 : 283,637.70 = 83,921.40 : x
  2. Step 2: Convert to fraction form
    189,091.80/283,637.70 = 83,921.40/x
  3. Step 3: Cross multiply
    189,091.80x = 283,637.70 × 83,921.40
  4. Step 4: Simplify right side
    189,091.80x = 23,803,272,876.78
  5. Step 5: Solve for x
    x = 23,803,272,876.78/189,091.80
  6. Step 6: Final answer
    x = 125,882.10

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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.