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Finding the Fourth Proportional to 212,229.98, 292,875.94 and 120,366.74

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Solution

The fourth proportional to 212,229.98, 292,875.94 and 120,366.74 is: 166,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,229.98 : 292,875.94 = 120,366.74 : x
  2. Step 2: Convert to fraction form
    212,229.98/292,875.94 = 120,366.74/x
  3. Step 3: Cross multiply
    212,229.98x = 292,875.94 × 120,366.74
  4. Step 4: Simplify right side
    212,229.98x = 35,252,522,122.24
  5. Step 5: Solve for x
    x = 35,252,522,122.24/212,229.98
  6. Step 6: Final answer
    x = 166,105.29

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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.