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Finding the Fourth Proportional to 286,278.30, 395,026.88 and 158,929.29

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Solution

The fourth proportional to 286,278.30, 395,026.88 and 158,929.29 is: 219,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,278.30 : 395,026.88 = 158,929.29 : x
  2. Step 2: Convert to fraction form
    286,278.30/395,026.88 = 158,929.29/x
  3. Step 3: Cross multiply
    286,278.30x = 395,026.88 × 158,929.29
  4. Step 4: Simplify right side
    286,278.30x = 62,781,340,774.67
  5. Step 5: Solve for x
    x = 62,781,340,774.67/286,278.30
  6. Step 6: Final answer
    x = 219,301.78

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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.