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Finding the Fourth Proportional to 177,830.40, 266,745.60 and 171,609.60

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Solution

The fourth proportional to 177,830.40, 266,745.60 and 171,609.60 is: 257,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,830.40 : 266,745.60 = 171,609.60 : x
  2. Step 2: Convert to fraction form
    177,830.40/266,745.60 = 171,609.60/x
  3. Step 3: Cross multiply
    177,830.40x = 266,745.60 × 171,609.60
  4. Step 4: Simplify right side
    177,830.40x = 45,776,105,717.76
  5. Step 5: Solve for x
    x = 45,776,105,717.76/177,830.40
  6. Step 6: Final answer
    x = 257,414.40

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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.