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Finding the Fourth Proportional to 299,089.89, 412,732.65 and 164,953.89

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Solution

The fourth proportional to 299,089.89, 412,732.65 and 164,953.89 is: 227,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.89 : 412,732.65 = 164,953.89 : x
  2. Step 2: Convert to fraction form
    299,089.89/412,732.65 = 164,953.89/x
  3. Step 3: Cross multiply
    299,089.89x = 412,732.65 × 164,953.89
  4. Step 4: Simplify right side
    299,089.89x = 68,081,856,147.51
  5. Step 5: Solve for x
    x = 68,081,856,147.51/299,089.89
  6. Step 6: Final answer
    x = 227,630.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.