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Finding the Fourth Proportional to 195,750, 270,158.04 and 116,262

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Solution

The fourth proportional to 195,750, 270,158.04 and 116,262 is: 160,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,750 : 270,158.04 = 116,262 : x
  2. Step 2: Convert to fraction form
    195,750/270,158.04 = 116,262/x
  3. Step 3: Cross multiply
    195,750x = 270,158.04 × 116,262
  4. Step 4: Simplify right side
    195,750x = 31,409,114,046.48
  5. Step 5: Solve for x
    x = 31,409,114,046.48/195,750
  6. Step 6: Final answer
    x = 160,455.24

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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.