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Finding the Fourth Proportional to 123,803.29, 185,778.71 and 44,923.67

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Solution

The fourth proportional to 123,803.29, 185,778.71 and 44,923.67 is: 67,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,803.29 : 185,778.71 = 44,923.67 : x
  2. Step 2: Convert to fraction form
    123,803.29/185,778.71 = 44,923.67/x
  3. Step 3: Cross multiply
    123,803.29x = 185,778.71 × 44,923.67
  4. Step 4: Simplify right side
    123,803.29x = 8,345,860,307.55
  5. Step 5: Solve for x
    x = 8,345,860,307.55/123,803.29
  6. Step 6: Final answer
    x = 67,412.27

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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.