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Finding the Fourth Proportional to 165,887.96, 248,874.84 and 47,567.96

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Solution

The fourth proportional to 165,887.96, 248,874.84 and 47,567.96 is: 71,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,887.96 : 248,874.84 = 47,567.96 : x
  2. Step 2: Convert to fraction form
    165,887.96/248,874.84 = 47,567.96/x
  3. Step 3: Cross multiply
    165,887.96x = 248,874.84 × 47,567.96
  4. Step 4: Simplify right side
    165,887.96x = 11,838,468,434.13
  5. Step 5: Solve for x
    x = 11,838,468,434.13/165,887.96
  6. Step 6: Final answer
    x = 71,364.24

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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.