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Finding the Fourth Proportional to 177,857.80, 266,441.10 and 98,830.60

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Solution

The fourth proportional to 177,857.80, 266,441.10 and 98,830.60 is: 148,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,857.80 : 266,441.10 = 98,830.60 : x
  2. Step 2: Convert to fraction form
    177,857.80/266,441.10 = 98,830.60/x
  3. Step 3: Cross multiply
    177,857.80x = 266,441.10 × 98,830.60
  4. Step 4: Simplify right side
    177,857.80x = 26,332,533,777.66
  5. Step 5: Solve for x
    x = 26,332,533,777.66/177,857.80
  6. Step 6: Final answer
    x = 148,053.86

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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.