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Finding the Fourth Proportional to 178,857.81, 246,820.73 and 98,285.24

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Solution

The fourth proportional to 178,857.81, 246,820.73 and 98,285.24 is: 135,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857.81 : 246,820.73 = 98,285.24 : x
  2. Step 2: Convert to fraction form
    178,857.81/246,820.73 = 98,285.24/x
  3. Step 3: Cross multiply
    178,857.81x = 246,820.73 × 98,285.24
  4. Step 4: Simplify right side
    178,857.81x = 24,258,834,685.03
  5. Step 5: Solve for x
    x = 24,258,834,685.03/178,857.81
  6. Step 6: Final answer
    x = 135,631.96

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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.