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Finding the Fourth Proportional to 238,215.80, 357,187.62 and 97,859

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Solution

The fourth proportional to 238,215.80, 357,187.62 and 97,859 is: 146,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,215.80 : 357,187.62 = 97,859 : x
  2. Step 2: Convert to fraction form
    238,215.80/357,187.62 = 97,859/x
  3. Step 3: Cross multiply
    238,215.80x = 357,187.62 × 97,859
  4. Step 4: Simplify right side
    238,215.80x = 34,954,023,305.58
  5. Step 5: Solve for x
    x = 34,954,023,305.58/238,215.80
  6. Step 6: Final answer
    x = 146,732.60

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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.