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Finding the Fourth Proportional to 192,595.14, 288,993.46 and 78,827.40

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Solution

The fourth proportional to 192,595.14, 288,993.46 and 78,827.40 is: 118,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,595.14 : 288,993.46 = 78,827.40 : x
  2. Step 2: Convert to fraction form
    192,595.14/288,993.46 = 78,827.40/x
  3. Step 3: Cross multiply
    192,595.14x = 288,993.46 × 78,827.40
  4. Step 4: Simplify right side
    192,595.14x = 22,780,603,068.80
  5. Step 5: Solve for x
    x = 22,780,603,068.80/192,595.14
  6. Step 6: Final answer
    x = 118,282.34

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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.