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Finding the Fourth Proportional to 238,236.72, 357,359.96 and 97,977.12

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Solution

The fourth proportional to 238,236.72, 357,359.96 and 97,977.12 is: 146,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,236.72 : 357,359.96 = 97,977.12 : x
  2. Step 2: Convert to fraction form
    238,236.72/357,359.96 = 97,977.12/x
  3. Step 3: Cross multiply
    238,236.72x = 357,359.96 × 97,977.12
  4. Step 4: Simplify right side
    238,236.72x = 35,013,099,684.12
  5. Step 5: Solve for x
    x = 35,013,099,684.12/238,236.72
  6. Step 6: Final answer
    x = 146,967.69

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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.