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Finding the Fourth Proportional to 178,420.32, 246,226.32 and 97,848

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Solution

The fourth proportional to 178,420.32, 246,226.32 and 97,848 is: 135,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,420.32 : 246,226.32 = 97,848 : x
  2. Step 2: Convert to fraction form
    178,420.32/246,226.32 = 97,848/x
  3. Step 3: Cross multiply
    178,420.32x = 246,226.32 × 97,848
  4. Step 4: Simplify right side
    178,420.32x = 24,092,752,959.36
  5. Step 5: Solve for x
    x = 24,092,752,959.36/178,420.32
  6. Step 6: Final answer
    x = 135,033.68

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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.