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Finding the Fourth Proportional to 165,859.92, 228,878.06 and 94,230

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Solution

The fourth proportional to 165,859.92, 228,878.06 and 94,230 is: 130,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,859.92 : 228,878.06 = 94,230 : x
  2. Step 2: Convert to fraction form
    165,859.92/228,878.06 = 94,230/x
  3. Step 3: Cross multiply
    165,859.92x = 228,878.06 × 94,230
  4. Step 4: Simplify right side
    165,859.92x = 21,567,179,122.65
  5. Step 5: Solve for x
    x = 21,567,179,122.65/165,859.92
  6. Step 6: Final answer
    x = 130,032.49

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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.