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Finding the Fourth Proportional to 204,869.96, 307,104.01 and 98,223.64

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Solution

The fourth proportional to 204,869.96, 307,104.01 and 98,223.64 is: 147,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,869.96 : 307,104.01 = 98,223.64 : x
  2. Step 2: Convert to fraction form
    204,869.96/307,104.01 = 98,223.64/x
  3. Step 3: Cross multiply
    204,869.96x = 307,104.01 × 98,223.64
  4. Step 4: Simplify right side
    204,869.96x = 30,164,872,707.48
  5. Step 5: Solve for x
    x = 30,164,872,707.48/204,869.96
  6. Step 6: Final answer
    x = 147,239.12

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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.