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Finding the Fourth Proportional to 212,253.34, 292,902.42 and 116,759.20

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Solution

The fourth proportional to 212,253.34, 292,902.42 and 116,759.20 is: 161,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,253.34 : 292,902.42 = 116,759.20 : x
  2. Step 2: Convert to fraction form
    212,253.34/292,902.42 = 116,759.20/x
  3. Step 3: Cross multiply
    212,253.34x = 292,902.42 × 116,759.20
  4. Step 4: Simplify right side
    212,253.34x = 34,199,052,237.26
  5. Step 5: Solve for x
    x = 34,199,052,237.26/212,253.34
  6. Step 6: Final answer
    x = 161,123.74

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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.