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Finding the Fourth Proportional to 256,063.46, 383,878.31 and 106,210.22

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Solution

The fourth proportional to 256,063.46, 383,878.31 and 106,210.22 is: 159,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,063.46 : 383,878.31 = 106,210.22 : x
  2. Step 2: Convert to fraction form
    256,063.46/383,878.31 = 106,210.22/x
  3. Step 3: Cross multiply
    256,063.46x = 383,878.31 × 106,210.22
  4. Step 4: Simplify right side
    256,063.46x = 40,771,799,758.33
  5. Step 5: Solve for x
    x = 40,771,799,758.33/256,063.46
  6. Step 6: Final answer
    x = 159,225.37

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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.