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Finding the Fourth Proportional to 206,415.40, 309,623.10 and 101,439.40

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Solution

The fourth proportional to 206,415.40, 309,623.10 and 101,439.40 is: 152,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.40 : 309,623.10 = 101,439.40 : x
  2. Step 2: Convert to fraction form
    206,415.40/309,623.10 = 101,439.40/x
  3. Step 3: Cross multiply
    206,415.40x = 309,623.10 × 101,439.40
  4. Step 4: Simplify right side
    206,415.40x = 31,407,981,490.14
  5. Step 5: Solve for x
    x = 31,407,981,490.14/206,415.40
  6. Step 6: Final answer
    x = 152,159.10

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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.