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Finding the Fourth Proportional to 209,645.52, 289,162.56 and 202,702.20

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Solution

The fourth proportional to 209,645.52, 289,162.56 and 202,702.20 is: 279,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,645.52 : 289,162.56 = 202,702.20 : x
  2. Step 2: Convert to fraction form
    209,645.52/289,162.56 = 202,702.20/x
  3. Step 3: Cross multiply
    209,645.52x = 289,162.56 × 202,702.20
  4. Step 4: Simplify right side
    209,645.52x = 58,613,887,069.63
  5. Step 5: Solve for x
    x = 58,613,887,069.63/209,645.52
  6. Step 6: Final answer
    x = 279,585.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.