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Finding the Fourth Proportional to 178,493.70, 246,319.20 and 97,921.83

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Solution

The fourth proportional to 178,493.70, 246,319.20 and 97,921.83 is: 135,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,493.70 : 246,319.20 = 97,921.83 : x
  2. Step 2: Convert to fraction form
    178,493.70/246,319.20 = 97,921.83/x
  3. Step 3: Cross multiply
    178,493.70x = 246,319.20 × 97,921.83
  4. Step 4: Simplify right side
    178,493.70x = 24,120,026,828.14
  5. Step 5: Solve for x
    x = 24,120,026,828.14/178,493.70
  6. Step 6: Final answer
    x = 135,130.97

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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.