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Finding the Fourth Proportional to 102,912.70, 154,697.10 and 97,007.80

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Solution

The fourth proportional to 102,912.70, 154,697.10 and 97,007.80 is: 145,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.70 : 154,697.10 = 97,007.80 : x
  2. Step 2: Convert to fraction form
    102,912.70/154,697.10 = 97,007.80/x
  3. Step 3: Cross multiply
    102,912.70x = 154,697.10 × 97,007.80
  4. Step 4: Simplify right side
    102,912.70x = 15,006,825,337.38
  5. Step 5: Solve for x
    x = 15,006,825,337.38/102,912.70
  6. Step 6: Final answer
    x = 145,820.93

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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.