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Finding the Fourth Proportional to 212,951.10, 293,881.20 and 117,463.86

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Solution

The fourth proportional to 212,951.10, 293,881.20 and 117,463.86 is: 162,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951.10 : 293,881.20 = 117,463.86 : x
  2. Step 2: Convert to fraction form
    212,951.10/293,881.20 = 117,463.86/x
  3. Step 3: Cross multiply
    212,951.10x = 293,881.20 × 117,463.86
  4. Step 4: Simplify right side
    212,951.10x = 34,520,420,133.43
  5. Step 5: Solve for x
    x = 34,520,420,133.43/212,951.10
  6. Step 6: Final answer
    x = 162,104.92

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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.