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Finding the Fourth Proportional to 175,285, 262,796.28 and 56,885.68

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Solution

The fourth proportional to 175,285, 262,796.28 and 56,885.68 is: 85,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,285 : 262,796.28 = 56,885.68 : x
  2. Step 2: Convert to fraction form
    175,285/262,796.28 = 56,885.68/x
  3. Step 3: Cross multiply
    175,285x = 262,796.28 × 56,885.68
  4. Step 4: Simplify right side
    175,285x = 14,949,345,089.27
  5. Step 5: Solve for x
    x = 14,949,345,089.27/175,285
  6. Step 6: Final answer
    x = 85,285.93

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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.