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Finding the Fourth Proportional to 197,282, 272,250.12 and 107,858

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Solution

The fourth proportional to 197,282, 272,250.12 and 107,858 is: 148,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,282 : 272,250.12 = 107,858 : x
  2. Step 2: Convert to fraction form
    197,282/272,250.12 = 107,858/x
  3. Step 3: Cross multiply
    197,282x = 272,250.12 × 107,858
  4. Step 4: Simplify right side
    197,282x = 29,364,353,442.96
  5. Step 5: Solve for x
    x = 29,364,353,442.96/197,282
  6. Step 6: Final answer
    x = 148,844.56

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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.