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Finding the Fourth Proportional to 83,191.41, 114,855.03 and 54,147.51

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Solution

The fourth proportional to 83,191.41, 114,855.03 and 54,147.51 is: 74,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.41 : 114,855.03 = 54,147.51 : x
  2. Step 2: Convert to fraction form
    83,191.41/114,855.03 = 54,147.51/x
  3. Step 3: Cross multiply
    83,191.41x = 114,855.03 × 54,147.51
  4. Step 4: Simplify right side
    83,191.41x = 6,219,113,885.48
  5. Step 5: Solve for x
    x = 6,219,113,885.48/83,191.41
  6. Step 6: Final answer
    x = 74,756.68

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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.