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Finding the Fourth Proportional to 102,902.70, 154,354.05 and 29,030.70

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Solution

The fourth proportional to 102,902.70, 154,354.05 and 29,030.70 is: 43,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.70 : 154,354.05 = 29,030.70 : x
  2. Step 2: Convert to fraction form
    102,902.70/154,354.05 = 29,030.70/x
  3. Step 3: Cross multiply
    102,902.70x = 154,354.05 × 29,030.70
  4. Step 4: Simplify right side
    102,902.70x = 4,481,006,119.34
  5. Step 5: Solve for x
    x = 4,481,006,119.34/102,902.70
  6. Step 6: Final answer
    x = 43,546.05

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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.