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Finding the Fourth Proportional to 192,000.20, 288,000.30 and 178,878.20

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Solution

The fourth proportional to 192,000.20, 288,000.30 and 178,878.20 is: 268,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.20 : 288,000.30 = 178,878.20 : x
  2. Step 2: Convert to fraction form
    192,000.20/288,000.30 = 178,878.20/x
  3. Step 3: Cross multiply
    192,000.20x = 288,000.30 × 178,878.20
  4. Step 4: Simplify right side
    192,000.20x = 51,516,975,263.46
  5. Step 5: Solve for x
    x = 51,516,975,263.46/192,000.20
  6. Step 6: Final answer
    x = 268,317.30

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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.