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Finding the Fourth Proportional to 175,344, 263,050.56 and 57,018.24

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Solution

The fourth proportional to 175,344, 263,050.56 and 57,018.24 is: 85,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,344 : 263,050.56 = 57,018.24 : x
  2. Step 2: Convert to fraction form
    175,344/263,050.56 = 57,018.24/x
  3. Step 3: Cross multiply
    175,344x = 263,050.56 × 57,018.24
  4. Step 4: Simplify right side
    175,344x = 14,998,679,962.21
  5. Step 5: Solve for x
    x = 14,998,679,962.21/175,344
  6. Step 6: Final answer
    x = 85,538.60

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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.