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Finding the Fourth Proportional to 103,452.93, 154,964.11 and 99,884.07

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Solution

The fourth proportional to 103,452.93, 154,964.11 and 99,884.07 is: 149,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,452.93 : 154,964.11 = 99,884.07 : x
  2. Step 2: Convert to fraction form
    103,452.93/154,964.11 = 99,884.07/x
  3. Step 3: Cross multiply
    103,452.93x = 154,964.11 × 99,884.07
  4. Step 4: Simplify right side
    103,452.93x = 15,478,446,010.73
  5. Step 5: Solve for x
    x = 15,478,446,010.73/103,452.93
  6. Step 6: Final answer
    x = 149,618.25

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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.