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Finding the Fourth Proportional to 110,399.34, 165,623.64 and 40,278.66

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Solution

The fourth proportional to 110,399.34, 165,623.64 and 40,278.66 is: 60,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,399.34 : 165,623.64 = 40,278.66 : x
  2. Step 2: Convert to fraction form
    110,399.34/165,623.64 = 40,278.66/x
  3. Step 3: Cross multiply
    110,399.34x = 165,623.64 × 40,278.66
  4. Step 4: Simplify right side
    110,399.34x = 6,671,098,283.52
  5. Step 5: Solve for x
    x = 6,671,098,283.52/110,399.34
  6. Step 6: Final answer
    x = 60,426.98

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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.