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Finding the Fourth Proportional to 195,046.59, 292,803.17 and 116,197.95

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Solution

The fourth proportional to 195,046.59, 292,803.17 and 116,197.95 is: 174,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,046.59 : 292,803.17 = 116,197.95 : x
  2. Step 2: Convert to fraction form
    195,046.59/292,803.17 = 116,197.95/x
  3. Step 3: Cross multiply
    195,046.59x = 292,803.17 × 116,197.95
  4. Step 4: Simplify right side
    195,046.59x = 34,023,128,107.50
  5. Step 5: Solve for x
    x = 34,023,128,107.50/195,046.59
  6. Step 6: Final answer
    x = 174,435.90

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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.