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Finding the Fourth Proportional to 197,637.38, 272,737.65 and 106,991

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Solution

The fourth proportional to 197,637.38, 272,737.65 and 106,991 is: 147,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,637.38 : 272,737.65 = 106,991 : x
  2. Step 2: Convert to fraction form
    197,637.38/272,737.65 = 106,991/x
  3. Step 3: Cross multiply
    197,637.38x = 272,737.65 × 106,991
  4. Step 4: Simplify right side
    197,637.38x = 29,180,473,911.15
  5. Step 5: Solve for x
    x = 29,180,473,911.15/197,637.38
  6. Step 6: Final answer
    x = 147,646.53

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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.