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Finding the Fourth Proportional to 193,759.48, 290,642.12 and 127,623.16

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Solution

The fourth proportional to 193,759.48, 290,642.12 and 127,623.16 is: 191,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,759.48 : 290,642.12 = 127,623.16 : x
  2. Step 2: Convert to fraction form
    193,759.48/290,642.12 = 127,623.16/x
  3. Step 3: Cross multiply
    193,759.48x = 290,642.12 × 127,623.16
  4. Step 4: Simplify right side
    193,759.48x = 37,092,665,783.50
  5. Step 5: Solve for x
    x = 37,092,665,783.50/193,759.48
  6. Step 6: Final answer
    x = 191,436.65

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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.