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Finding the Fourth Proportional to 273,384.80, 410,192.40 and 148,815.20

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Solution

The fourth proportional to 273,384.80, 410,192.40 and 148,815.20 is: 223,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,384.80 : 410,192.40 = 148,815.20 : x
  2. Step 2: Convert to fraction form
    273,384.80/410,192.40 = 148,815.20/x
  3. Step 3: Cross multiply
    273,384.80x = 410,192.40 × 148,815.20
  4. Step 4: Simplify right side
    273,384.80x = 61,042,864,044.48
  5. Step 5: Solve for x
    x = 61,042,864,044.48/273,384.80
  6. Step 6: Final answer
    x = 223,285.51

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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.