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Finding the Fourth Proportional to 178,385.12, 246,174.24 and 97,820

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Solution

The fourth proportional to 178,385.12, 246,174.24 and 97,820 is: 134,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,385.12 : 246,174.24 = 97,820 : x
  2. Step 2: Convert to fraction form
    178,385.12/246,174.24 = 97,820/x
  3. Step 3: Cross multiply
    178,385.12x = 246,174.24 × 97,820
  4. Step 4: Simplify right side
    178,385.12x = 24,080,764,156.80
  5. Step 5: Solve for x
    x = 24,080,764,156.80/178,385.12
  6. Step 6: Final answer
    x = 134,993.12

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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.