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Finding the Fourth Proportional to 177,408.30, 265,723.65 and 94,205.10

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Solution

The fourth proportional to 177,408.30, 265,723.65 and 94,205.10 is: 141,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408.30 : 265,723.65 = 94,205.10 : x
  2. Step 2: Convert to fraction form
    177,408.30/265,723.65 = 94,205.10/x
  3. Step 3: Cross multiply
    177,408.30x = 265,723.65 × 94,205.10
  4. Step 4: Simplify right side
    177,408.30x = 25,032,523,020.62
  5. Step 5: Solve for x
    x = 25,032,523,020.62/177,408.30
  6. Step 6: Final answer
    x = 141,101.19

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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.