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Finding the Fourth Proportional to 212,058.38, 292,641.17 and 121,415.73

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Solution

The fourth proportional to 212,058.38, 292,641.17 and 121,415.73 is: 167,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,058.38 : 292,641.17 = 121,415.73 : x
  2. Step 2: Convert to fraction form
    212,058.38/292,641.17 = 121,415.73/x
  3. Step 3: Cross multiply
    212,058.38x = 292,641.17 × 121,415.73
  4. Step 4: Simplify right side
    212,058.38x = 35,531,240,676.53
  5. Step 5: Solve for x
    x = 35,531,240,676.53/212,058.38
  6. Step 6: Final answer
    x = 167,554.06

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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.