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Finding the Fourth Proportional to 298,730.20, 448,095.30 and 188,138.20

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Solution

The fourth proportional to 298,730.20, 448,095.30 and 188,138.20 is: 282,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,730.20 : 448,095.30 = 188,138.20 : x
  2. Step 2: Convert to fraction form
    298,730.20/448,095.30 = 188,138.20/x
  3. Step 3: Cross multiply
    298,730.20x = 448,095.30 × 188,138.20
  4. Step 4: Simplify right side
    298,730.20x = 84,303,843,170.46
  5. Step 5: Solve for x
    x = 84,303,843,170.46/298,730.20
  6. Step 6: Final answer
    x = 282,207.30

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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.