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Finding the Fourth Proportional to 255,863.58, 383,631.15 and 106,207.17

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Solution

The fourth proportional to 255,863.58, 383,631.15 and 106,207.17 is: 159,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,863.58 : 383,631.15 = 106,207.17 : x
  2. Step 2: Convert to fraction form
    255,863.58/383,631.15 = 106,207.17/x
  3. Step 3: Cross multiply
    255,863.58x = 383,631.15 × 106,207.17
  4. Step 4: Simplify right side
    255,863.58x = 40,744,379,805.69
  5. Step 5: Solve for x
    x = 40,744,379,805.69/255,863.58
  6. Step 6: Final answer
    x = 159,242.59

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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.