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Finding the Fourth Proportional to 193,897.52, 290,790.08 and 75,542.48

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Solution

The fourth proportional to 193,897.52, 290,790.08 and 75,542.48 is: 113,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,897.52 : 290,790.08 = 75,542.48 : x
  2. Step 2: Convert to fraction form
    193,897.52/290,790.08 = 75,542.48/x
  3. Step 3: Cross multiply
    193,897.52x = 290,790.08 × 75,542.48
  4. Step 4: Simplify right side
    193,897.52x = 21,967,003,802.60
  5. Step 5: Solve for x
    x = 21,967,003,802.60/193,897.52
  6. Step 6: Final answer
    x = 113,291.82

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1.5x scale

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.