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Finding the Fourth Proportional to 223,245.95, 334,871.69 and 65,477.66

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Solution

The fourth proportional to 223,245.95, 334,871.69 and 65,477.66 is: 98,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,245.95 : 334,871.69 = 65,477.66 : x
  2. Step 2: Convert to fraction form
    223,245.95/334,871.69 = 65,477.66/x
  3. Step 3: Cross multiply
    223,245.95x = 334,871.69 × 65,477.66
  4. Step 4: Simplify right side
    223,245.95x = 21,926,612,659.70
  5. Step 5: Solve for x
    x = 21,926,612,659.70/223,245.95
  6. Step 6: Final answer
    x = 98,217.29

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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.