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Finding the Fourth Proportional to 287,742.38, 397,079.21 and 158,692.77

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Solution

The fourth proportional to 287,742.38, 397,079.21 and 158,692.77 is: 218,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,742.38 : 397,079.21 = 158,692.77 : x
  2. Step 2: Convert to fraction form
    287,742.38/397,079.21 = 158,692.77/x
  3. Step 3: Cross multiply
    287,742.38x = 397,079.21 × 158,692.77
  4. Step 4: Simplify right side
    287,742.38x = 63,013,600,141.04
  5. Step 5: Solve for x
    x = 63,013,600,141.04/287,742.38
  6. Step 6: Final answer
    x = 218,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.