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Finding the Fourth Proportional to 213,200.30, 319,800.45 and 186,934.70

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Solution

The fourth proportional to 213,200.30, 319,800.45 and 186,934.70 is: 280,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,200.30 : 319,800.45 = 186,934.70 : x
  2. Step 2: Convert to fraction form
    213,200.30/319,800.45 = 186,934.70/x
  3. Step 3: Cross multiply
    213,200.30x = 319,800.45 × 186,934.70
  4. Step 4: Simplify right side
    213,200.30x = 59,781,801,180.62
  5. Step 5: Solve for x
    x = 59,781,801,180.62/213,200.30
  6. Step 6: Final answer
    x = 280,402.05

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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.