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Finding the Fourth Proportional to 119,402.34, 164,742.54 and 74,058.54

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Solution

The fourth proportional to 119,402.34, 164,742.54 and 74,058.54 is: 102,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,402.34 : 164,742.54 = 74,058.54 : x
  2. Step 2: Convert to fraction form
    119,402.34/164,742.54 = 74,058.54/x
  3. Step 3: Cross multiply
    119,402.34x = 164,742.54 × 74,058.54
  4. Step 4: Simplify right side
    119,402.34x = 12,200,591,988.29
  5. Step 5: Solve for x
    x = 12,200,591,988.29/119,402.34
  6. Step 6: Final answer
    x = 102,180.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.