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Finding the Fourth Proportional to 212,752.85, 293,600.72 and 117,259.79

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Solution

The fourth proportional to 212,752.85, 293,600.72 and 117,259.79 is: 161,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,752.85 : 293,600.72 = 117,259.79 : x
  2. Step 2: Convert to fraction form
    212,752.85/293,600.72 = 117,259.79/x
  3. Step 3: Cross multiply
    212,752.85x = 293,600.72 × 117,259.79
  4. Step 4: Simplify right side
    212,752.85x = 34,427,558,771.05
  5. Step 5: Solve for x
    x = 34,427,558,771.05/212,752.85
  6. Step 6: Final answer
    x = 161,819.50

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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.