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Finding the Fourth Proportional to 208,567.20, 311,244.36 and 171,703.20

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Solution

The fourth proportional to 208,567.20, 311,244.36 and 171,703.20 is: 256,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.20 : 311,244.36 = 171,703.20 : x
  2. Step 2: Convert to fraction form
    208,567.20/311,244.36 = 171,703.20/x
  3. Step 3: Cross multiply
    208,567.20x = 311,244.36 × 171,703.20
  4. Step 4: Simplify right side
    208,567.20x = 53,441,652,593.95
  5. Step 5: Solve for x
    x = 53,441,652,593.95/208,567.20
  6. Step 6: Final answer
    x = 256,232.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.