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Finding the Fourth Proportional to 177,551.60, 266,327.40 and 111,196.40

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Solution

The fourth proportional to 177,551.60, 266,327.40 and 111,196.40 is: 166,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,551.60 : 266,327.40 = 111,196.40 : x
  2. Step 2: Convert to fraction form
    177,551.60/266,327.40 = 111,196.40/x
  3. Step 3: Cross multiply
    177,551.60x = 266,327.40 × 111,196.40
  4. Step 4: Simplify right side
    177,551.60x = 29,614,648,101.36
  5. Step 5: Solve for x
    x = 29,614,648,101.36/177,551.60
  6. Step 6: Final answer
    x = 166,794.60

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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.