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Finding the Fourth Proportional to 204,304.92, 306,254.04 and 97,564.10

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Solution

The fourth proportional to 204,304.92, 306,254.04 and 97,564.10 is: 146,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,304.92 : 306,254.04 = 97,564.10 : x
  2. Step 2: Convert to fraction form
    204,304.92/306,254.04 = 97,564.10/x
  3. Step 3: Cross multiply
    204,304.92x = 306,254.04 × 97,564.10
  4. Step 4: Simplify right side
    204,304.92x = 29,879,397,886.83
  5. Step 5: Solve for x
    x = 29,879,397,886.83/204,304.92
  6. Step 6: Final answer
    x = 146,249.04

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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.