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Finding the Fourth Proportional to 212,440.86, 293,168.43 and 116,947.56

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Solution

The fourth proportional to 212,440.86, 293,168.43 and 116,947.56 is: 161,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,440.86 : 293,168.43 = 116,947.56 : x
  2. Step 2: Convert to fraction form
    212,440.86/293,168.43 = 116,947.56/x
  3. Step 3: Cross multiply
    212,440.86x = 293,168.43 × 116,947.56
  4. Step 4: Simplify right side
    212,440.86x = 34,285,333,656.91
  5. Step 5: Solve for x
    x = 34,285,333,656.91/212,440.86
  6. Step 6: Final answer
    x = 161,387.66

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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.