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Finding the Fourth Proportional to 206,797.66, 310,350.89 and 153,612.45

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Solution

The fourth proportional to 206,797.66, 310,350.89 and 153,612.45 is: 230,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,797.66 : 310,350.89 = 153,612.45 : x
  2. Step 2: Convert to fraction form
    206,797.66/310,350.89 = 153,612.45/x
  3. Step 3: Cross multiply
    206,797.66x = 310,350.89 × 153,612.45
  4. Step 4: Simplify right side
    206,797.66x = 47,673,760,956.61
  5. Step 5: Solve for x
    x = 47,673,760,956.61/206,797.66
  6. Step 6: Final answer
    x = 230,533.37

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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.