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Finding the Fourth Proportional to 178,196.80, 266,922.60 and 83,507.80

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Solution

The fourth proportional to 178,196.80, 266,922.60 and 83,507.80 is: 125,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,196.80 : 266,922.60 = 83,507.80 : x
  2. Step 2: Convert to fraction form
    178,196.80/266,922.60 = 83,507.80/x
  3. Step 3: Cross multiply
    178,196.80x = 266,922.60 × 83,507.80
  4. Step 4: Simplify right side
    178,196.80x = 22,290,119,096.28
  5. Step 5: Solve for x
    x = 22,290,119,096.28/178,196.80
  6. Step 6: Final answer
    x = 125,087.09

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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.