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Finding the Fourth Proportional to 106,692.76, 160,073.32 and 74,705.15

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Solution

The fourth proportional to 106,692.76, 160,073.32 and 74,705.15 is: 112,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.76 : 160,073.32 = 74,705.15 : x
  2. Step 2: Convert to fraction form
    106,692.76/160,073.32 = 74,705.15/x
  3. Step 3: Cross multiply
    106,692.76x = 160,073.32 × 74,705.15
  4. Step 4: Simplify right side
    106,692.76x = 11,958,300,581.23
  5. Step 5: Solve for x
    x = 11,958,300,581.23/106,692.76
  6. Step 6: Final answer
    x = 112,081.66

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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.