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Finding the Fourth Proportional to 174,185, 261,291 and 54,226.88

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Solution

The fourth proportional to 174,185, 261,291 and 54,226.88 is: 81,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,185 : 261,291 = 54,226.88 : x
  2. Step 2: Convert to fraction form
    174,185/261,291 = 54,226.88/x
  3. Step 3: Cross multiply
    174,185x = 261,291 × 54,226.88
  4. Step 4: Simplify right side
    174,185x = 14,168,995,702.08
  5. Step 5: Solve for x
    x = 14,168,995,702.08/174,185
  6. Step 6: Final answer
    x = 81,344.52

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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.