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Finding the Fourth Proportional to 209,951.40, 314,927.10 and 142,591.80

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Solution

The fourth proportional to 209,951.40, 314,927.10 and 142,591.80 is: 213,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,951.40 : 314,927.10 = 142,591.80 : x
  2. Step 2: Convert to fraction form
    209,951.40/314,927.10 = 142,591.80/x
  3. Step 3: Cross multiply
    209,951.40x = 314,927.10 × 142,591.80
  4. Step 4: Simplify right side
    209,951.40x = 44,906,022,057.78
  5. Step 5: Solve for x
    x = 44,906,022,057.78/209,951.40
  6. Step 6: Final answer
    x = 213,887.70

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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.