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Finding the Fourth Proportional to 178,892.84, 246,866.90 and 102,409.40

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Solution

The fourth proportional to 178,892.84, 246,866.90 and 102,409.40 is: 141,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,892.84 : 246,866.90 = 102,409.40 : x
  2. Step 2: Convert to fraction form
    178,892.84/246,866.90 = 102,409.40/x
  3. Step 3: Cross multiply
    178,892.84x = 246,866.90 × 102,409.40
  4. Step 4: Simplify right side
    178,892.84x = 25,281,491,108.86
  5. Step 5: Solve for x
    x = 25,281,491,108.86/178,892.84
  6. Step 6: Final answer
    x = 141,321.98

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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.