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Finding the Fourth Proportional to 266,181.75, 399,075.80 and 160,977.33

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Solution

The fourth proportional to 266,181.75, 399,075.80 and 160,977.33 is: 241,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,181.75 : 399,075.80 = 160,977.33 : x
  2. Step 2: Convert to fraction form
    266,181.75/399,075.80 = 160,977.33/x
  3. Step 3: Cross multiply
    266,181.75x = 399,075.80 × 160,977.33
  4. Step 4: Simplify right side
    266,181.75x = 64,242,155,946.73
  5. Step 5: Solve for x
    x = 64,242,155,946.73/266,181.75
  6. Step 6: Final answer
    x = 241,346.96

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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.