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Finding the Fourth Proportional to 125,832, 188,777.18 and 42,726

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Solution

The fourth proportional to 125,832, 188,777.18 and 42,726 is: 64,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,832 : 188,777.18 = 42,726 : x
  2. Step 2: Convert to fraction form
    125,832/188,777.18 = 42,726/x
  3. Step 3: Cross multiply
    125,832x = 188,777.18 × 42,726
  4. Step 4: Simplify right side
    125,832x = 8,065,693,792.68
  5. Step 5: Solve for x
    x = 8,065,693,792.68/125,832
  6. Step 6: Final answer
    x = 64,098.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.