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Finding the Fourth Proportional to 223,219.72, 334,876.38 and 65,435.32

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Solution

The fourth proportional to 223,219.72, 334,876.38 and 65,435.32 is: 98,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219.72 : 334,876.38 = 65,435.32 : x
  2. Step 2: Convert to fraction form
    223,219.72/334,876.38 = 65,435.32/x
  3. Step 3: Cross multiply
    223,219.72x = 334,876.38 × 65,435.32
  4. Step 4: Simplify right side
    223,219.72x = 21,912,743,085.74
  5. Step 5: Solve for x
    x = 21,912,743,085.74/223,219.72
  6. Step 6: Final answer
    x = 98,166.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.