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Finding the Fourth Proportional to 209,865.60, 314,769.60 and 69,609.60

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Solution

The fourth proportional to 209,865.60, 314,769.60 and 69,609.60 is: 104,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,865.60 : 314,769.60 = 69,609.60 : x
  2. Step 2: Convert to fraction form
    209,865.60/314,769.60 = 69,609.60/x
  3. Step 3: Cross multiply
    209,865.60x = 314,769.60 × 69,609.60
  4. Step 4: Simplify right side
    209,865.60x = 21,910,985,948.16
  5. Step 5: Solve for x
    x = 21,910,985,948.16/209,865.60
  6. Step 6: Final answer
    x = 104,404.85

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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.