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Finding the Fourth Proportional to 223,189.93, 334,787.61 and 65,421.55

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Solution

The fourth proportional to 223,189.93, 334,787.61 and 65,421.55 is: 98,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.93 : 334,787.61 = 65,421.55 : x
  2. Step 2: Convert to fraction form
    223,189.93/334,787.61 = 65,421.55/x
  3. Step 3: Cross multiply
    223,189.93x = 334,787.61 × 65,421.55
  4. Step 4: Simplify right side
    223,189.93x = 21,902,324,367.00
  5. Step 5: Solve for x
    x = 21,902,324,367.00/223,189.93
  6. Step 6: Final answer
    x = 98,133.12

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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.