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Finding the Fourth Proportional to 195,758.34, 270,165.45 and 109,731.93

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Solution

The fourth proportional to 195,758.34, 270,165.45 and 109,731.93 is: 151,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,758.34 : 270,165.45 = 109,731.93 : x
  2. Step 2: Convert to fraction form
    195,758.34/270,165.45 = 109,731.93/x
  3. Step 3: Cross multiply
    195,758.34x = 270,165.45 × 109,731.93
  4. Step 4: Simplify right side
    195,758.34x = 29,645,776,247.82
  5. Step 5: Solve for x
    x = 29,645,776,247.82/195,758.34
  6. Step 6: Final answer
    x = 151,440.68

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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.