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Finding the Fourth Proportional to 119,058.84, 164,301.32 and 71,339.88

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Solution

The fourth proportional to 119,058.84, 164,301.32 and 71,339.88 is: 98,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,058.84 : 164,301.32 = 71,339.88 : x
  2. Step 2: Convert to fraction form
    119,058.84/164,301.32 = 71,339.88/x
  3. Step 3: Cross multiply
    119,058.84x = 164,301.32 × 71,339.88
  4. Step 4: Simplify right side
    119,058.84x = 11,721,236,452.64
  5. Step 5: Solve for x
    x = 11,721,236,452.64/119,058.84
  6. Step 6: Final answer
    x = 98,449.11

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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.