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Finding the Fourth Proportional to 204,894.78, 307,396.89 and 64,656.06

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Solution

The fourth proportional to 204,894.78, 307,396.89 and 64,656.06 is: 97,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894.78 : 307,396.89 = 64,656.06 : x
  2. Step 2: Convert to fraction form
    204,894.78/307,396.89 = 64,656.06/x
  3. Step 3: Cross multiply
    204,894.78x = 307,396.89 × 64,656.06
  4. Step 4: Simplify right side
    204,894.78x = 19,875,071,763.65
  5. Step 5: Solve for x
    x = 19,875,071,763.65/204,894.78
  6. Step 6: Final answer
    x = 97,001.36

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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.