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Finding the Fourth Proportional to 102,908.70, 154,691.10 and 97,003.80

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Solution

The fourth proportional to 102,908.70, 154,691.10 and 97,003.80 is: 145,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,908.70 : 154,691.10 = 97,003.80 : x
  2. Step 2: Convert to fraction form
    102,908.70/154,691.10 = 97,003.80/x
  3. Step 3: Cross multiply
    102,908.70x = 154,691.10 × 97,003.80
  4. Step 4: Simplify right side
    102,908.70x = 15,005,624,526.18
  5. Step 5: Solve for x
    x = 15,005,624,526.18/102,908.70
  6. Step 6: Final answer
    x = 145,814.93

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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.