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Finding the Fourth Proportional to 173,024, 238,556.82 and 144,384.86

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Solution

The fourth proportional to 173,024, 238,556.82 and 144,384.86 is: 199,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,024 : 238,556.82 = 144,384.86 : x
  2. Step 2: Convert to fraction form
    173,024/238,556.82 = 144,384.86/x
  3. Step 3: Cross multiply
    173,024x = 238,556.82 × 144,384.86
  4. Step 4: Simplify right side
    173,024x = 34,443,993,057.75
  5. Step 5: Solve for x
    x = 34,443,993,057.75/173,024
  6. Step 6: Final answer
    x = 199,070.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.