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Finding the Fourth Proportional to 193,882.30, 290,823.45 and 127,527.10

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Solution

The fourth proportional to 193,882.30, 290,823.45 and 127,527.10 is: 191,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,882.30 : 290,823.45 = 127,527.10 : x
  2. Step 2: Convert to fraction form
    193,882.30/290,823.45 = 127,527.10/x
  3. Step 3: Cross multiply
    193,882.30x = 290,823.45 × 127,527.10
  4. Step 4: Simplify right side
    193,882.30x = 37,087,871,190.50
  5. Step 5: Solve for x
    x = 37,087,871,190.50/193,882.30
  6. Step 6: Final answer
    x = 191,290.65

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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.