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Finding the Fourth Proportional to 209,847.44, 314,806.02 and 83,488.88

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Solution

The fourth proportional to 209,847.44, 314,806.02 and 83,488.88 is: 125,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,847.44 : 314,806.02 = 83,488.88 : x
  2. Step 2: Convert to fraction form
    209,847.44/314,806.02 = 83,488.88/x
  3. Step 3: Cross multiply
    209,847.44x = 314,806.02 × 83,488.88
  4. Step 4: Simplify right side
    209,847.44x = 26,282,802,027.06
  5. Step 5: Solve for x
    x = 26,282,802,027.06/209,847.44
  6. Step 6: Final answer
    x = 125,247.19

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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.