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Finding the Fourth Proportional to 171,037.10, 256,555.65 and 100,178.30

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Solution

The fourth proportional to 171,037.10, 256,555.65 and 100,178.30 is: 150,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,037.10 : 256,555.65 = 100,178.30 : x
  2. Step 2: Convert to fraction form
    171,037.10/256,555.65 = 100,178.30/x
  3. Step 3: Cross multiply
    171,037.10x = 256,555.65 × 100,178.30
  4. Step 4: Simplify right side
    171,037.10x = 25,701,308,872.40
  5. Step 5: Solve for x
    x = 25,701,308,872.40/171,037.10
  6. Step 6: Final answer
    x = 150,267.45

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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.