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Finding the Fourth Proportional to 103,270.24, 154,902.12 and 29,398.24

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Solution

The fourth proportional to 103,270.24, 154,902.12 and 29,398.24 is: 44,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,270.24 : 154,902.12 = 29,398.24 : x
  2. Step 2: Convert to fraction form
    103,270.24/154,902.12 = 29,398.24/x
  3. Step 3: Cross multiply
    103,270.24x = 154,902.12 × 29,398.24
  4. Step 4: Simplify right side
    103,270.24x = 4,553,849,700.27
  5. Step 5: Solve for x
    x = 4,553,849,700.27/103,270.24
  6. Step 6: Final answer
    x = 44,096.44

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1.5x scale

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.