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Finding the Fourth Proportional to 177,766.40, 266,795.40 and 171,934.40

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Solution

The fourth proportional to 177,766.40, 266,795.40 and 171,934.40 is: 258,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,766.40 : 266,795.40 = 171,934.40 : x
  2. Step 2: Convert to fraction form
    177,766.40/266,795.40 = 171,934.40/x
  3. Step 3: Cross multiply
    177,766.40x = 266,795.40 × 171,934.40
  4. Step 4: Simplify right side
    177,766.40x = 45,871,307,021.76
  5. Step 5: Solve for x
    x = 45,871,307,021.76/177,766.40
  6. Step 6: Final answer
    x = 258,042.62

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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.