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Finding the Fourth Proportional to 200,727.25, 301,207.52 and 89,919.25

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Solution

The fourth proportional to 200,727.25, 301,207.52 and 89,919.25 is: 134,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.25 : 301,207.52 = 89,919.25 : x
  2. Step 2: Convert to fraction form
    200,727.25/301,207.52 = 89,919.25/x
  3. Step 3: Cross multiply
    200,727.25x = 301,207.52 × 89,919.25
  4. Step 4: Simplify right side
    200,727.25x = 27,084,354,292.76
  5. Step 5: Solve for x
    x = 27,084,354,292.76/200,727.25
  6. Step 6: Final answer
    x = 134,931.13

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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.