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Finding the Fourth Proportional to 170,824.70, 256,467.90 and 99,820.10

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Solution

The fourth proportional to 170,824.70, 256,467.90 and 99,820.10 is: 149,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,824.70 : 256,467.90 = 99,820.10 : x
  2. Step 2: Convert to fraction form
    170,824.70/256,467.90 = 99,820.10/x
  3. Step 3: Cross multiply
    170,824.70x = 256,467.90 × 99,820.10
  4. Step 4: Simplify right side
    170,824.70x = 25,600,651,424.79
  5. Step 5: Solve for x
    x = 25,600,651,424.79/170,824.70
  6. Step 6: Final answer
    x = 149,865.05

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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.