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Finding the Fourth Proportional to 101,414.88, 152,144.06 and 30,343.05

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Solution

The fourth proportional to 101,414.88, 152,144.06 and 30,343.05 is: 45,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.88 : 152,144.06 = 30,343.05 : x
  2. Step 2: Convert to fraction form
    101,414.88/152,144.06 = 30,343.05/x
  3. Step 3: Cross multiply
    101,414.88x = 152,144.06 × 30,343.05
  4. Step 4: Simplify right side
    101,414.88x = 4,616,514,668.07
  5. Step 5: Solve for x
    x = 4,616,514,668.07/101,414.88
  6. Step 6: Final answer
    x = 45,521.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.