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Finding the Fourth Proportional to 180,351.96, 270,306.38 and 101,300

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Solution

The fourth proportional to 180,351.96, 270,306.38 and 101,300 is: 151,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,351.96 : 270,306.38 = 101,300 : x
  2. Step 2: Convert to fraction form
    180,351.96/270,306.38 = 101,300/x
  3. Step 3: Cross multiply
    180,351.96x = 270,306.38 × 101,300
  4. Step 4: Simplify right side
    180,351.96x = 27,382,036,294
  5. Step 5: Solve for x
    x = 27,382,036,294/180,351.96
  6. Step 6: Final answer
    x = 151,825.55

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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.