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Finding the Fourth Proportional to 204,937.92, 307,419.84 and 64,702.08

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Solution

The fourth proportional to 204,937.92, 307,419.84 and 64,702.08 is: 97,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,937.92 : 307,419.84 = 64,702.08 : x
  2. Step 2: Convert to fraction form
    204,937.92/307,419.84 = 64,702.08/x
  3. Step 3: Cross multiply
    204,937.92x = 307,419.84 × 64,702.08
  4. Step 4: Simplify right side
    204,937.92x = 19,890,703,081.27
  5. Step 5: Solve for x
    x = 19,890,703,081.27/204,937.92
  6. Step 6: Final answer
    x = 97,057.21

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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.