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Finding the Fourth Proportional to 223,344, 334,827.72 and 96,889.01

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Solution

The fourth proportional to 223,344, 334,827.72 and 96,889.01 is: 145,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,344 : 334,827.72 = 96,889.01 : x
  2. Step 2: Convert to fraction form
    223,344/334,827.72 = 96,889.01/x
  3. Step 3: Cross multiply
    223,344x = 334,827.72 × 96,889.01
  4. Step 4: Simplify right side
    223,344x = 32,441,124,637.22
  5. Step 5: Solve for x
    x = 32,441,124,637.22/223,344
  6. Step 6: Final answer
    x = 145,251.83

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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.