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Finding the Fourth Proportional to 266,135.80, 399,203.70 and 171,657.40

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Solution

The fourth proportional to 266,135.80, 399,203.70 and 171,657.40 is: 257,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,135.80 : 399,203.70 = 171,657.40 : x
  2. Step 2: Convert to fraction form
    266,135.80/399,203.70 = 171,657.40/x
  3. Step 3: Cross multiply
    266,135.80x = 399,203.70 × 171,657.40
  4. Step 4: Simplify right side
    266,135.80x = 68,526,269,212.38
  5. Step 5: Solve for x
    x = 68,526,269,212.38/266,135.80
  6. Step 6: Final answer
    x = 257,486.10

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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.