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Finding the Fourth Proportional to 193,701.18, 290,551.80 and 53,459.82

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Solution

The fourth proportional to 193,701.18, 290,551.80 and 53,459.82 is: 80,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,701.18 : 290,551.80 = 53,459.82 : x
  2. Step 2: Convert to fraction form
    193,701.18/290,551.80 = 53,459.82/x
  3. Step 3: Cross multiply
    193,701.18x = 290,551.80 × 53,459.82
  4. Step 4: Simplify right side
    193,701.18x = 15,532,846,928.68
  5. Step 5: Solve for x
    x = 15,532,846,928.68/193,701.18
  6. Step 6: Final answer
    x = 80,189.74

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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.