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Finding the Fourth Proportional to 146,511.78, 219,767.70 and 35,703.78

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Solution

The fourth proportional to 146,511.78, 219,767.70 and 35,703.78 is: 53,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,511.78 : 219,767.70 = 35,703.78 : x
  2. Step 2: Convert to fraction form
    146,511.78/219,767.70 = 35,703.78/x
  3. Step 3: Cross multiply
    146,511.78x = 219,767.70 × 35,703.78
  4. Step 4: Simplify right side
    146,511.78x = 7,846,537,611.91
  5. Step 5: Solve for x
    x = 7,846,537,611.91/146,511.78
  6. Step 6: Final answer
    x = 53,555.68

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1.5x scale

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.