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Finding the Fourth Proportional to 223,078.22, 334,617.31 and 65,306.67

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Solution

The fourth proportional to 223,078.22, 334,617.31 and 65,306.67 is: 97,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,078.22 : 334,617.31 = 65,306.67 : x
  2. Step 2: Convert to fraction form
    223,078.22/334,617.31 = 65,306.67/x
  3. Step 3: Cross multiply
    223,078.22x = 334,617.31 × 65,306.67
  4. Step 4: Simplify right side
    223,078.22x = 21,852,740,567.37
  5. Step 5: Solve for x
    x = 21,852,740,567.37/223,078.22
  6. Step 6: Final answer
    x = 97,959.99

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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.