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Finding the Fourth Proportional to 209,394.49, 314,195.52 and 83,032.02

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Solution

The fourth proportional to 209,394.49, 314,195.52 and 83,032.02 is: 124,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,394.49 : 314,195.52 = 83,032.02 : x
  2. Step 2: Convert to fraction form
    209,394.49/314,195.52 = 83,032.02/x
  3. Step 3: Cross multiply
    209,394.49x = 314,195.52 × 83,032.02
  4. Step 4: Simplify right side
    209,394.49x = 26,088,288,700.55
  5. Step 5: Solve for x
    x = 26,088,288,700.55/209,394.49
  6. Step 6: Final answer
    x = 124,589.18

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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.