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Finding the Fourth Proportional to 228,826.08, 315,714.71 and 132,022.27

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Solution

The fourth proportional to 228,826.08, 315,714.71 and 132,022.27 is: 182,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,826.08 : 315,714.71 = 132,022.27 : x
  2. Step 2: Convert to fraction form
    228,826.08/315,714.71 = 132,022.27/x
  3. Step 3: Cross multiply
    228,826.08x = 315,714.71 × 132,022.27
  4. Step 4: Simplify right side
    228,826.08x = 41,681,373,411.29
  5. Step 5: Solve for x
    x = 41,681,373,411.29/228,826.08
  6. Step 6: Final answer
    x = 182,153.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.