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Finding the Fourth Proportional to 178,849, 246,811.62 and 99,361

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Solution

The fourth proportional to 178,849, 246,811.62 and 99,361 is: 137,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,849 : 246,811.62 = 99,361 : x
  2. Step 2: Convert to fraction form
    178,849/246,811.62 = 99,361/x
  3. Step 3: Cross multiply
    178,849x = 246,811.62 × 99,361
  4. Step 4: Simplify right side
    178,849x = 24,523,449,374.82
  5. Step 5: Solve for x
    x = 24,523,449,374.82/178,849
  6. Step 6: Final answer
    x = 137,118.18

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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.