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Finding the Fourth Proportional to 125,795.34, 188,692.97 and 86,232.51

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Solution

The fourth proportional to 125,795.34, 188,692.97 and 86,232.51 is: 129,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,795.34 : 188,692.97 = 86,232.51 : x
  2. Step 2: Convert to fraction form
    125,795.34/188,692.97 = 86,232.51/x
  3. Step 3: Cross multiply
    125,795.34x = 188,692.97 × 86,232.51
  4. Step 4: Simplify right side
    125,795.34x = 16,271,468,638.04
  5. Step 5: Solve for x
    x = 16,271,468,638.04/125,795.34
  6. Step 6: Final answer
    x = 129,348.74

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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.