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Finding the Fourth Proportional to 102,995.52, 154,405.44 and 98,096.64

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Solution

The fourth proportional to 102,995.52, 154,405.44 and 98,096.64 is: 147,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.52 : 154,405.44 = 98,096.64 : x
  2. Step 2: Convert to fraction form
    102,995.52/154,405.44 = 98,096.64/x
  3. Step 3: Cross multiply
    102,995.52x = 154,405.44 × 98,096.64
  4. Step 4: Simplify right side
    102,995.52x = 15,146,654,861.72
  5. Step 5: Solve for x
    x = 15,146,654,861.72/102,995.52
  6. Step 6: Final answer
    x = 147,061.30

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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.