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Finding the Fourth Proportional to 212,092.31, 292,692.99 and 115,302.68

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Solution

The fourth proportional to 212,092.31, 292,692.99 and 115,302.68 is: 159,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,092.31 : 292,692.99 = 115,302.68 : x
  2. Step 2: Convert to fraction form
    212,092.31/292,692.99 = 115,302.68/x
  3. Step 3: Cross multiply
    212,092.31x = 292,692.99 × 115,302.68
  4. Step 4: Simplify right side
    212,092.31x = 33,748,286,164.21
  5. Step 5: Solve for x
    x = 33,748,286,164.21/212,092.31
  6. Step 6: Final answer
    x = 159,120.74

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