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Finding the Fourth Proportional to 178,897.84, 246,873.80 and 102,414.40

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Solution

The fourth proportional to 178,897.84, 246,873.80 and 102,414.40 is: 141,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,897.84 : 246,873.80 = 102,414.40 : x
  2. Step 2: Convert to fraction form
    178,897.84/246,873.80 = 102,414.40/x
  3. Step 3: Cross multiply
    178,897.84x = 246,873.80 × 102,414.40
  4. Step 4: Simplify right side
    178,897.84x = 25,283,432,102.72
  5. Step 5: Solve for x
    x = 25,283,432,102.72/178,897.84
  6. Step 6: Final answer
    x = 141,328.88

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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.