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Finding the Fourth Proportional to 229,249.84, 343,764.14 and 96,094.34

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Solution

The fourth proportional to 229,249.84, 343,764.14 and 96,094.34 is: 144,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,249.84 : 343,764.14 = 96,094.34 : x
  2. Step 2: Convert to fraction form
    229,249.84/343,764.14 = 96,094.34/x
  3. Step 3: Cross multiply
    229,249.84x = 343,764.14 × 96,094.34
  4. Step 4: Simplify right side
    229,249.84x = 33,033,788,148.97
  5. Step 5: Solve for x
    x = 33,033,788,148.97/229,249.84
  6. Step 6: Final answer
    x = 144,095.14

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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.