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Finding the Fourth Proportional to 212,296.31, 292,971.23 and 115,500.72

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Solution

The fourth proportional to 212,296.31, 292,971.23 and 115,500.72 is: 159,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,296.31 : 292,971.23 = 115,500.72 : x
  2. Step 2: Convert to fraction form
    212,296.31/292,971.23 = 115,500.72/x
  3. Step 3: Cross multiply
    212,296.31x = 292,971.23 × 115,500.72
  4. Step 4: Simplify right side
    212,296.31x = 33,838,386,761.27
  5. Step 5: Solve for x
    x = 33,838,386,761.27/212,296.31
  6. Step 6: Final answer
    x = 159,392.25

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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.