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Finding the Fourth Proportional to 149,160, 205,844.04 and 82,092

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Solution

The fourth proportional to 149,160, 205,844.04 and 82,092 is: 113,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,160 : 205,844.04 = 82,092 : x
  2. Step 2: Convert to fraction form
    149,160/205,844.04 = 82,092/x
  3. Step 3: Cross multiply
    149,160x = 205,844.04 × 82,092
  4. Step 4: Simplify right side
    149,160x = 16,898,148,931.68
  5. Step 5: Solve for x
    x = 16,898,148,931.68/149,160
  6. Step 6: Final answer
    x = 113,288.74

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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.