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Finding the Fourth Proportional to 102,608.10, 153,912.15 and 88,784.10

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Solution

The fourth proportional to 102,608.10, 153,912.15 and 88,784.10 is: 133,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,608.10 : 153,912.15 = 88,784.10 : x
  2. Step 2: Convert to fraction form
    102,608.10/153,912.15 = 88,784.10/x
  3. Step 3: Cross multiply
    102,608.10x = 153,912.15 × 88,784.10
  4. Step 4: Simplify right side
    102,608.10x = 13,664,951,716.82
  5. Step 5: Solve for x
    x = 13,664,951,716.82/102,608.10
  6. Step 6: Final answer
    x = 133,176.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.