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Finding the Fourth Proportional to 199,209.60, 297,950.40 and 178,300.80

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Solution

The fourth proportional to 199,209.60, 297,950.40 and 178,300.80 is: 266,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,209.60 : 297,950.40 = 178,300.80 : x
  2. Step 2: Convert to fraction form
    199,209.60/297,950.40 = 178,300.80/x
  3. Step 3: Cross multiply
    199,209.60x = 297,950.40 × 178,300.80
  4. Step 4: Simplify right side
    199,209.60x = 53,124,794,680.32
  5. Step 5: Solve for x
    x = 53,124,794,680.32/199,209.60
  6. Step 6: Final answer
    x = 266,677.88

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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.