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Finding the Fourth Proportional to 177,653.40, 266,625.90 and 171,821.40

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Solution

The fourth proportional to 177,653.40, 266,625.90 and 171,821.40 is: 257,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,653.40 : 266,625.90 = 171,821.40 : x
  2. Step 2: Convert to fraction form
    177,653.40/266,625.90 = 171,821.40/x
  3. Step 3: Cross multiply
    177,653.40x = 266,625.90 × 171,821.40
  4. Step 4: Simplify right side
    177,653.40x = 45,812,035,414.26
  5. Step 5: Solve for x
    x = 45,812,035,414.26/177,653.40
  6. Step 6: Final answer
    x = 257,873.11

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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.