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Finding the Fourth Proportional to 338,730.80, 508,023.30 and 149,190.80

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Solution

The fourth proportional to 338,730.80, 508,023.30 and 149,190.80 is: 223,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,730.80 : 508,023.30 = 149,190.80 : x
  2. Step 2: Convert to fraction form
    338,730.80/508,023.30 = 149,190.80/x
  3. Step 3: Cross multiply
    338,730.80x = 508,023.30 × 149,190.80
  4. Step 4: Simplify right side
    338,730.80x = 75,792,402,545.64
  5. Step 5: Solve for x
    x = 75,792,402,545.64/338,730.80
  6. Step 6: Final answer
    x = 223,754.09

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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.