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Finding the Fourth Proportional to 188,677.86, 260,494.98 and 117,133.80

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Solution

The fourth proportional to 188,677.86, 260,494.98 and 117,133.80 is: 161,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,677.86 : 260,494.98 = 117,133.80 : x
  2. Step 2: Convert to fraction form
    188,677.86/260,494.98 = 117,133.80/x
  3. Step 3: Cross multiply
    188,677.86x = 260,494.98 × 117,133.80
  4. Step 4: Simplify right side
    188,677.86x = 30,512,766,888.32
  5. Step 5: Solve for x
    x = 30,512,766,888.32/188,677.86
  6. Step 6: Final answer
    x = 161,718.85

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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.