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Finding the Fourth Proportional to 107,578.98, 148,462.65 and 59,183.01

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Solution

The fourth proportional to 107,578.98, 148,462.65 and 59,183.01 is: 81,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,578.98 : 148,462.65 = 59,183.01 : x
  2. Step 2: Convert to fraction form
    107,578.98/148,462.65 = 59,183.01/x
  3. Step 3: Cross multiply
    107,578.98x = 148,462.65 × 59,183.01
  4. Step 4: Simplify right side
    107,578.98x = 8,786,466,499.58
  5. Step 5: Solve for x
    x = 8,786,466,499.58/107,578.98
  6. Step 6: Final answer
    x = 81,674.57

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Why These Related Problems?

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