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Finding the Fourth Proportional to 189,125.20, 283,585.40 and 78,328.40

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Solution

The fourth proportional to 189,125.20, 283,585.40 and 78,328.40 is: 117,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,125.20 : 283,585.40 = 78,328.40 : x
  2. Step 2: Convert to fraction form
    189,125.20/283,585.40 = 78,328.40/x
  3. Step 3: Cross multiply
    189,125.20x = 283,585.40 × 78,328.40
  4. Step 4: Simplify right side
    189,125.20x = 22,212,790,645.36
  5. Step 5: Solve for x
    x = 22,212,790,645.36/189,125.20
  6. Step 6: Final answer
    x = 117,450.19

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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.