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Finding the Fourth Proportional to 204,449.10, 306,904.05 and 157,908.30

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Solution

The fourth proportional to 204,449.10, 306,904.05 and 157,908.30 is: 237,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,449.10 : 306,904.05 = 157,908.30 : x
  2. Step 2: Convert to fraction form
    204,449.10/306,904.05 = 157,908.30/x
  3. Step 3: Cross multiply
    204,449.10x = 306,904.05 × 157,908.30
  4. Step 4: Simplify right side
    204,449.10x = 48,462,696,798.62
  5. Step 5: Solve for x
    x = 48,462,696,798.62/204,449.10
  6. Step 6: Final answer
    x = 237,040.40

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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.