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Finding the Fourth Proportional to 204,895.78, 307,398.39 and 64,657.06

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Solution

The fourth proportional to 204,895.78, 307,398.39 and 64,657.06 is: 97,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,895.78 : 307,398.39 = 64,657.06 : x
  2. Step 2: Convert to fraction form
    204,895.78/307,398.39 = 64,657.06/x
  3. Step 3: Cross multiply
    204,895.78x = 307,398.39 × 64,657.06
  4. Step 4: Simplify right side
    204,895.78x = 19,875,476,146.13
  5. Step 5: Solve for x
    x = 19,875,476,146.13/204,895.78
  6. Step 6: Final answer
    x = 97,002.86

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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.