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Finding the Fourth Proportional to 159,735.30, 239,104.35 and 117,662.82

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Solution

The fourth proportional to 159,735.30, 239,104.35 and 117,662.82 is: 176,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,735.30 : 239,104.35 = 117,662.82 : x
  2. Step 2: Convert to fraction form
    159,735.30/239,104.35 = 117,662.82/x
  3. Step 3: Cross multiply
    159,735.30x = 239,104.35 × 117,662.82
  4. Step 4: Simplify right side
    159,735.30x = 28,133,692,095.27
  5. Step 5: Solve for x
    x = 28,133,692,095.27/159,735.30
  6. Step 6: Final answer
    x = 176,126.96

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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.