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Finding the Fourth Proportional to 196,901.60, 295,279.50 and 154,863.50

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Solution

The fourth proportional to 196,901.60, 295,279.50 and 154,863.50 is: 232,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,901.60 : 295,279.50 = 154,863.50 : x
  2. Step 2: Convert to fraction form
    196,901.60/295,279.50 = 154,863.50/x
  3. Step 3: Cross multiply
    196,901.60x = 295,279.50 × 154,863.50
  4. Step 4: Simplify right side
    196,901.60x = 45,728,016,848.25
  5. Step 5: Solve for x
    x = 45,728,016,848.25/196,901.60
  6. Step 6: Final answer
    x = 232,237.91

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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.