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Finding the Fourth Proportional to 177,767.60, 266,824.20 and 107,783.60

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Solution

The fourth proportional to 177,767.60, 266,824.20 and 107,783.60 is: 161,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,767.60 : 266,824.20 = 107,783.60 : x
  2. Step 2: Convert to fraction form
    177,767.60/266,824.20 = 107,783.60/x
  3. Step 3: Cross multiply
    177,767.60x = 266,824.20 × 107,783.60
  4. Step 4: Simplify right side
    177,767.60x = 28,759,272,843.12
  5. Step 5: Solve for x
    x = 28,759,272,843.12/177,767.60
  6. Step 6: Final answer
    x = 161,780.17

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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.