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Finding the Fourth Proportional to 212,049.12, 292,624.42 and 116,553.76

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Solution

The fourth proportional to 212,049.12, 292,624.42 and 116,553.76 is: 160,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,049.12 : 292,624.42 = 116,553.76 : x
  2. Step 2: Convert to fraction form
    212,049.12/292,624.42 = 116,553.76/x
  3. Step 3: Cross multiply
    212,049.12x = 292,624.42 × 116,553.76
  4. Step 4: Simplify right side
    212,049.12x = 34,106,476,418.82
  5. Step 5: Solve for x
    x = 34,106,476,418.82/212,049.12
  6. Step 6: Final answer
    x = 160,842.34

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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.