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Finding the Fourth Proportional to 193,886.88, 290,776.56 and 53,634.72

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Solution

The fourth proportional to 193,886.88, 290,776.56 and 53,634.72 is: 80,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,886.88 : 290,776.56 = 53,634.72 : x
  2. Step 2: Convert to fraction form
    193,886.88/290,776.56 = 53,634.72/x
  3. Step 3: Cross multiply
    193,886.88x = 290,776.56 × 53,634.72
  4. Step 4: Simplify right side
    193,886.88x = 15,595,719,378.16
  5. Step 5: Solve for x
    x = 15,595,719,378.16/193,886.88
  6. Step 6: Final answer
    x = 80,437.21

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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.