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Finding the Fourth Proportional to 148,744.38, 205,093.80 and 110,953.02

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Solution

The fourth proportional to 148,744.38, 205,093.80 and 110,953.02 is: 152,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,744.38 : 205,093.80 = 110,953.02 : x
  2. Step 2: Convert to fraction form
    148,744.38/205,093.80 = 110,953.02/x
  3. Step 3: Cross multiply
    148,744.38x = 205,093.80 × 110,953.02
  4. Step 4: Simplify right side
    148,744.38x = 22,755,776,493.28
  5. Step 5: Solve for x
    x = 22,755,776,493.28/148,744.38
  6. Step 6: Final answer
    x = 152,985.79

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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.