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Finding the Fourth Proportional to 150,412.85, 207,514.81 and 89,985.23

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Solution

The fourth proportional to 150,412.85, 207,514.81 and 89,985.23 is: 124,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412.85 : 207,514.81 = 89,985.23 : x
  2. Step 2: Convert to fraction form
    150,412.85/207,514.81 = 89,985.23/x
  3. Step 3: Cross multiply
    150,412.85x = 207,514.81 × 89,985.23
  4. Step 4: Simplify right side
    150,412.85x = 18,673,267,906.26
  5. Step 5: Solve for x
    x = 18,673,267,906.26/150,412.85
  6. Step 6: Final answer
    x = 124,146.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.