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Finding the Fourth Proportional to 133,021.86, 199,545.08 and 53,040.52

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Solution

The fourth proportional to 133,021.86, 199,545.08 and 53,040.52 is: 79,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.86 : 199,545.08 = 53,040.52 : x
  2. Step 2: Convert to fraction form
    133,021.86/199,545.08 = 53,040.52/x
  3. Step 3: Cross multiply
    133,021.86x = 199,545.08 × 53,040.52
  4. Step 4: Simplify right side
    133,021.86x = 10,583,974,806.64
  5. Step 5: Solve for x
    x = 10,583,974,806.64/133,021.86
  6. Step 6: Final answer
    x = 79,565.68

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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.