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Finding the Fourth Proportional to 177,999.30, 266,998.95 and 111,644.10

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Solution

The fourth proportional to 177,999.30, 266,998.95 and 111,644.10 is: 167,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,999.30 : 266,998.95 = 111,644.10 : x
  2. Step 2: Convert to fraction form
    177,999.30/266,998.95 = 111,644.10/x
  3. Step 3: Cross multiply
    177,999.30x = 266,998.95 × 111,644.10
  4. Step 4: Simplify right side
    177,999.30x = 29,808,857,473.70
  5. Step 5: Solve for x
    x = 29,808,857,473.70/177,999.30
  6. Step 6: Final answer
    x = 167,466.15

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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.