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Finding the Fourth Proportional to 125,396.58, 188,159.34 and 83,305.74

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Solution

The fourth proportional to 125,396.58, 188,159.34 and 83,305.74 is: 125,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,396.58 : 188,159.34 = 83,305.74 : x
  2. Step 2: Convert to fraction form
    125,396.58/188,159.34 = 83,305.74/x
  3. Step 3: Cross multiply
    125,396.58x = 188,159.34 × 83,305.74
  4. Step 4: Simplify right side
    125,396.58x = 15,674,753,056.61
  5. Step 5: Solve for x
    x = 15,674,753,056.61/125,396.58
  6. Step 6: Final answer
    x = 125,001.44

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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.