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Finding the Fourth Proportional to 291,692.76, 402,536.01 and 164,372.91

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Solution

The fourth proportional to 291,692.76, 402,536.01 and 164,372.91 is: 226,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,692.76 : 402,536.01 = 164,372.91 : x
  2. Step 2: Convert to fraction form
    291,692.76/402,536.01 = 164,372.91/x
  3. Step 3: Cross multiply
    291,692.76x = 402,536.01 × 164,372.91
  4. Step 4: Simplify right side
    291,692.76x = 66,166,015,343.49
  5. Step 5: Solve for x
    x = 66,166,015,343.49/291,692.76
  6. Step 6: Final answer
    x = 226,834.62

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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.