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Finding the Fourth Proportional to 212,071.32, 292,654.62 and 116,575.97

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Solution

The fourth proportional to 212,071.32, 292,654.62 and 116,575.97 is: 160,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,071.32 : 292,654.62 = 116,575.97 : x
  2. Step 2: Convert to fraction form
    212,071.32/292,654.62 = 116,575.97/x
  3. Step 3: Cross multiply
    212,071.32x = 292,654.62 × 116,575.97
  4. Step 4: Simplify right side
    212,071.32x = 34,116,494,738.21
  5. Step 5: Solve for x
    x = 34,116,494,738.21/212,071.32
  6. Step 6: Final answer
    x = 160,872.74

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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.