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Finding the Fourth Proportional to 171,153.90, 256,649.85 and 100,097.10

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Solution

The fourth proportional to 171,153.90, 256,649.85 and 100,097.10 is: 150,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,153.90 : 256,649.85 = 100,097.10 : x
  2. Step 2: Convert to fraction form
    171,153.90/256,649.85 = 100,097.10/x
  3. Step 3: Cross multiply
    171,153.90x = 256,649.85 × 100,097.10
  4. Step 4: Simplify right side
    171,153.90x = 25,689,905,700.44
  5. Step 5: Solve for x
    x = 25,689,905,700.44/171,153.90
  6. Step 6: Final answer
    x = 150,098.28

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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.