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Finding the Fourth Proportional to 107,699.78, 161,549.73 and 51,526.68

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Solution

The fourth proportional to 107,699.78, 161,549.73 and 51,526.68 is: 77,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,699.78 : 161,549.73 = 51,526.68 : x
  2. Step 2: Convert to fraction form
    107,699.78/161,549.73 = 51,526.68/x
  3. Step 3: Cross multiply
    107,699.78x = 161,549.73 × 51,526.68
  4. Step 4: Simplify right side
    107,699.78x = 8,324,121,241.80
  5. Step 5: Solve for x
    x = 8,324,121,241.80/107,699.78
  6. Step 6: Final answer
    x = 77,290.05

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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.