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Finding the Fourth Proportional to 198,058.64, 273,427.12 and 152,970

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Solution

The fourth proportional to 198,058.64, 273,427.12 and 152,970 is: 211,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,058.64 : 273,427.12 = 152,970 : x
  2. Step 2: Convert to fraction form
    198,058.64/273,427.12 = 152,970/x
  3. Step 3: Cross multiply
    198,058.64x = 273,427.12 × 152,970
  4. Step 4: Simplify right side
    198,058.64x = 41,826,146,546.40
  5. Step 5: Solve for x
    x = 41,826,146,546.40/198,058.64
  6. Step 6: Final answer
    x = 211,180.62

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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.