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Finding the Fourth Proportional to 175,309.11, 262,797.17 and 56,897.64

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Solution

The fourth proportional to 175,309.11, 262,797.17 and 56,897.64 is: 85,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,309.11 : 262,797.17 = 56,897.64 : x
  2. Step 2: Convert to fraction form
    175,309.11/262,797.17 = 56,897.64/x
  3. Step 3: Cross multiply
    175,309.11x = 262,797.17 × 56,897.64
  4. Step 4: Simplify right side
    175,309.11x = 14,952,538,487.19
  5. Step 5: Solve for x
    x = 14,952,538,487.19/175,309.11
  6. Step 6: Final answer
    x = 85,292.42

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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.