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Finding the Fourth Proportional to 229,184, 343,914.24 and 97,856

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Solution

The fourth proportional to 229,184, 343,914.24 and 97,856 is: 146,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,184 : 343,914.24 = 97,856 : x
  2. Step 2: Convert to fraction form
    229,184/343,914.24 = 97,856/x
  3. Step 3: Cross multiply
    229,184x = 343,914.24 × 97,856
  4. Step 4: Simplify right side
    229,184x = 33,654,071,869.44
  5. Step 5: Solve for x
    x = 33,654,071,869.44/229,184
  6. Step 6: Final answer
    x = 146,843.03

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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.