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Finding the Fourth Proportional to 223,823.64, 335,702.35 and 81,635.64

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Solution

The fourth proportional to 223,823.64, 335,702.35 and 81,635.64 is: 122,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,823.64 : 335,702.35 = 81,635.64 : x
  2. Step 2: Convert to fraction form
    223,823.64/335,702.35 = 81,635.64/x
  3. Step 3: Cross multiply
    223,823.64x = 335,702.35 × 81,635.64
  4. Step 4: Simplify right side
    223,823.64x = 27,405,276,191.75
  5. Step 5: Solve for x
    x = 27,405,276,191.75/223,823.64
  6. Step 6: Final answer
    x = 122,441.38

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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.