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Finding the Fourth Proportional to 212,122.53, 292,729.14 and 116,635.68

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Solution

The fourth proportional to 212,122.53, 292,729.14 and 116,635.68 is: 160,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,122.53 : 292,729.14 = 116,635.68 : x
  2. Step 2: Convert to fraction form
    212,122.53/292,729.14 = 116,635.68/x
  3. Step 3: Cross multiply
    212,122.53x = 292,729.14 × 116,635.68
  4. Step 4: Simplify right side
    212,122.53x = 34,142,662,299.72
  5. Step 5: Solve for x
    x = 34,142,662,299.72/212,122.53
  6. Step 6: Final answer
    x = 160,957.27

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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.