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Finding the Fourth Proportional to 273,297.83, 409,815.52 and 154,937.39

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Solution

The fourth proportional to 273,297.83, 409,815.52 and 154,937.39 is: 232,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,297.83 : 409,815.52 = 154,937.39 : x
  2. Step 2: Convert to fraction form
    273,297.83/409,815.52 = 154,937.39/x
  3. Step 3: Cross multiply
    273,297.83x = 409,815.52 × 154,937.39
  4. Step 4: Simplify right side
    273,297.83x = 63,495,747,050.29
  5. Step 5: Solve for x
    x = 63,495,747,050.29/273,297.83
  6. Step 6: Final answer
    x = 232,331.69

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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.