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Finding the Fourth Proportional to 223,092.88, 334,762.10 and 96,734.09

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Solution

The fourth proportional to 223,092.88, 334,762.10 and 96,734.09 is: 145,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,092.88 : 334,762.10 = 96,734.09 : x
  2. Step 2: Convert to fraction form
    223,092.88/334,762.10 = 96,734.09/x
  3. Step 3: Cross multiply
    223,092.88x = 334,762.10 × 96,734.09
  4. Step 4: Simplify right side
    223,092.88x = 32,382,908,188.73
  5. Step 5: Solve for x
    x = 32,382,908,188.73/223,092.88
  6. Step 6: Final answer
    x = 145,154.38

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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.