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Finding the Fourth Proportional to 243,001.84, 364,556.16 and 74,545.36

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Solution

The fourth proportional to 243,001.84, 364,556.16 and 74,545.36 is: 111,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,001.84 : 364,556.16 = 74,545.36 : x
  2. Step 2: Convert to fraction form
    243,001.84/364,556.16 = 74,545.36/x
  3. Step 3: Cross multiply
    243,001.84x = 364,556.16 × 74,545.36
  4. Step 4: Simplify right side
    243,001.84x = 27,175,970,187.42
  5. Step 5: Solve for x
    x = 27,175,970,187.42/243,001.84
  6. Step 6: Final answer
    x = 111,834.42

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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.