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Finding the Fourth Proportional to 193,907.52, 290,563.20 and 114,864.48

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Solution

The fourth proportional to 193,907.52, 290,563.20 and 114,864.48 is: 172,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,907.52 : 290,563.20 = 114,864.48 : x
  2. Step 2: Convert to fraction form
    193,907.52/290,563.20 = 114,864.48/x
  3. Step 3: Cross multiply
    193,907.52x = 290,563.20 × 114,864.48
  4. Step 4: Simplify right side
    193,907.52x = 33,375,390,875.14
  5. Step 5: Solve for x
    x = 33,375,390,875.14/193,907.52
  6. Step 6: Final answer
    x = 172,120.15

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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.