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Finding the Fourth Proportional to 177,794.25, 266,684.24 and 97,990.42

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Solution

The fourth proportional to 177,794.25, 266,684.24 and 97,990.42 is: 146,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,794.25 : 266,684.24 = 97,990.42 : x
  2. Step 2: Convert to fraction form
    177,794.25/266,684.24 = 97,990.42/x
  3. Step 3: Cross multiply
    177,794.25x = 266,684.24 × 97,990.42
  4. Step 4: Simplify right side
    177,794.25x = 26,132,499,528.32
  5. Step 5: Solve for x
    x = 26,132,499,528.32/177,794.25
  6. Step 6: Final answer
    x = 146,981.69

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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.