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Finding the Fourth Proportional to 172,497.64, 258,744.30 and 60,177.64

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Solution

The fourth proportional to 172,497.64, 258,744.30 and 60,177.64 is: 90,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,497.64 : 258,744.30 = 60,177.64 : x
  2. Step 2: Convert to fraction form
    172,497.64/258,744.30 = 60,177.64/x
  3. Step 3: Cross multiply
    172,497.64x = 258,744.30 × 60,177.64
  4. Step 4: Simplify right side
    172,497.64x = 15,570,621,337.45
  5. Step 5: Solve for x
    x = 15,570,621,337.45/172,497.64
  6. Step 6: Final answer
    x = 90,265.71

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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.