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Finding the Fourth Proportional to 209,513.20, 314,269.80 and 125,532.40

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Solution

The fourth proportional to 209,513.20, 314,269.80 and 125,532.40 is: 188,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,513.20 : 314,269.80 = 125,532.40 : x
  2. Step 2: Convert to fraction form
    209,513.20/314,269.80 = 125,532.40/x
  3. Step 3: Cross multiply
    209,513.20x = 314,269.80 × 125,532.40
  4. Step 4: Simplify right side
    209,513.20x = 39,451,042,241.52
  5. Step 5: Solve for x
    x = 39,451,042,241.52/209,513.20
  6. Step 6: Final answer
    x = 188,298.60

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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.