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Finding the Fourth Proportional to 149,925.71, 206,897.13 and 85,394.94

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Solution

The fourth proportional to 149,925.71, 206,897.13 and 85,394.94 is: 117,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,925.71 : 206,897.13 = 85,394.94 : x
  2. Step 2: Convert to fraction form
    149,925.71/206,897.13 = 85,394.94/x
  3. Step 3: Cross multiply
    149,925.71x = 206,897.13 × 85,394.94
  4. Step 4: Simplify right side
    149,925.71x = 17,667,967,226.66
  5. Step 5: Solve for x
    x = 17,667,967,226.66/149,925.71
  6. Step 6: Final answer
    x = 117,844.81

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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.