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Finding the Fourth Proportional to 189,394.13, 283,697.51 and 89,634.12

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Solution

The fourth proportional to 189,394.13, 283,697.51 and 89,634.12 is: 134,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,394.13 : 283,697.51 = 89,634.12 : x
  2. Step 2: Convert to fraction form
    189,394.13/283,697.51 = 89,634.12/x
  3. Step 3: Cross multiply
    189,394.13x = 283,697.51 × 89,634.12
  4. Step 4: Simplify right side
    189,394.13x = 25,428,976,206.87
  5. Step 5: Solve for x
    x = 25,428,976,206.87/189,394.13
  6. Step 6: Final answer
    x = 134,264.86

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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.