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Finding the Fourth Proportional to 189,107.70, 283,661.55 and 147,117.30

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Solution

The fourth proportional to 189,107.70, 283,661.55 and 147,117.30 is: 220,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,107.70 : 283,661.55 = 147,117.30 : x
  2. Step 2: Convert to fraction form
    189,107.70/283,661.55 = 147,117.30/x
  3. Step 3: Cross multiply
    189,107.70x = 283,661.55 × 147,117.30
  4. Step 4: Simplify right side
    189,107.70x = 41,731,521,349.82
  5. Step 5: Solve for x
    x = 41,731,521,349.82/189,107.70
  6. Step 6: Final answer
    x = 220,675.95

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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.