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Finding the Fourth Proportional to 199,404.61, 275,167.40 and 113,351.63

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Solution

The fourth proportional to 199,404.61, 275,167.40 and 113,351.63 is: 156,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,404.61 : 275,167.40 = 113,351.63 : x
  2. Step 2: Convert to fraction form
    199,404.61/275,167.40 = 113,351.63/x
  3. Step 3: Cross multiply
    199,404.61x = 275,167.40 × 113,351.63
  4. Step 4: Simplify right side
    199,404.61x = 31,190,671,370.27
  5. Step 5: Solve for x
    x = 31,190,671,370.27/199,404.61
  6. Step 6: Final answer
    x = 156,419.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.