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Finding the Fourth Proportional to 239,908.57, 359,841.92 and 97,768.76

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Solution

The fourth proportional to 239,908.57, 359,841.92 and 97,768.76 is: 146,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,908.57 : 359,841.92 = 97,768.76 : x
  2. Step 2: Convert to fraction form
    239,908.57/359,841.92 = 97,768.76/x
  3. Step 3: Cross multiply
    239,908.57x = 359,841.92 × 97,768.76
  4. Step 4: Simplify right side
    239,908.57x = 35,181,296,026.37
  5. Step 5: Solve for x
    x = 35,181,296,026.37/239,908.57
  6. Step 6: Final answer
    x = 146,644.60

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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.