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Finding the Fourth Proportional to 171,211.74, 256,649.13 and 100,044.06

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Solution

The fourth proportional to 171,211.74, 256,649.13 and 100,044.06 is: 149,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,211.74 : 256,649.13 = 100,044.06 : x
  2. Step 2: Convert to fraction form
    171,211.74/256,649.13 = 100,044.06/x
  3. Step 3: Cross multiply
    171,211.74x = 256,649.13 × 100,044.06
  4. Step 4: Simplify right side
    171,211.74x = 25,676,220,960.67
  5. Step 5: Solve for x
    x = 25,676,220,960.67/171,211.74
  6. Step 6: Final answer
    x = 149,967.64

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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.