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Finding the Fourth Proportional to 212,686.70, 293,520.72 and 117,193.38

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Solution

The fourth proportional to 212,686.70, 293,520.72 and 117,193.38 is: 161,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686.70 : 293,520.72 = 117,193.38 : x
  2. Step 2: Convert to fraction form
    212,686.70/293,520.72 = 117,193.38/x
  3. Step 3: Cross multiply
    212,686.70x = 293,520.72 × 117,193.38
  4. Step 4: Simplify right side
    212,686.70x = 34,398,685,276.83
  5. Step 5: Solve for x
    x = 34,398,685,276.83/212,686.70
  6. Step 6: Final answer
    x = 161,734.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.