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Finding the Fourth Proportional to 193,801.88, 290,719.43 and 53,560.51

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Solution

The fourth proportional to 193,801.88, 290,719.43 and 53,560.51 is: 80,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,801.88 : 290,719.43 = 53,560.51 : x
  2. Step 2: Convert to fraction form
    193,801.88/290,719.43 = 53,560.51/x
  3. Step 3: Cross multiply
    193,801.88x = 290,719.43 × 53,560.51
  4. Step 4: Simplify right side
    193,801.88x = 15,571,080,937.71
  5. Step 5: Solve for x
    x = 15,571,080,937.71/193,801.88
  6. Step 6: Final answer
    x = 80,345.36

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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.