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Finding the Fourth Proportional to 193,907.52, 290,866.14 and 53,667.36

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Solution

The fourth proportional to 193,907.52, 290,866.14 and 53,667.36 is: 80,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,907.52 : 290,866.14 = 53,667.36 : x
  2. Step 2: Convert to fraction form
    193,907.52/290,866.14 = 53,667.36/x
  3. Step 3: Cross multiply
    193,907.52x = 290,866.14 × 53,667.36
  4. Step 4: Simplify right side
    193,907.52x = 15,610,017,847.19
  5. Step 5: Solve for x
    x = 15,610,017,847.19/193,907.52
  6. Step 6: Final answer
    x = 80,502.39

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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.