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Finding the Fourth Proportional to 208,599.52, 288,104.92 and 141,414.88

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Solution

The fourth proportional to 208,599.52, 288,104.92 and 141,414.88 is: 195,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599.52 : 288,104.92 = 141,414.88 : x
  2. Step 2: Convert to fraction form
    208,599.52/288,104.92 = 141,414.88/x
  3. Step 3: Cross multiply
    208,599.52x = 288,104.92 × 141,414.88
  4. Step 4: Simplify right side
    208,599.52x = 40,742,322,689.21
  5. Step 5: Solve for x
    x = 40,742,322,689.21/208,599.52
  6. Step 6: Final answer
    x = 195,313.60

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Why These Related Problems?

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