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Finding the Fourth Proportional to 125,766.94, 188,412.75 and 74,322.13

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Solution

The fourth proportional to 125,766.94, 188,412.75 and 74,322.13 is: 111,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,766.94 : 188,412.75 = 74,322.13 : x
  2. Step 2: Convert to fraction form
    125,766.94/188,412.75 = 74,322.13/x
  3. Step 3: Cross multiply
    125,766.94x = 188,412.75 × 74,322.13
  4. Step 4: Simplify right side
    125,766.94x = 14,003,236,899.16
  5. Step 5: Solve for x
    x = 14,003,236,899.16/125,766.94
  6. Step 6: Final answer
    x = 111,342.75

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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.