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Finding the Fourth Proportional to 229,249.01, 343,762.91 and 96,093.51

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Solution

The fourth proportional to 229,249.01, 343,762.91 and 96,093.51 is: 144,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,249.01 : 343,762.91 = 96,093.51 : x
  2. Step 2: Convert to fraction form
    229,249.01/343,762.91 = 96,093.51/x
  3. Step 3: Cross multiply
    229,249.01x = 343,762.91 × 96,093.51
  4. Step 4: Simplify right side
    229,249.01x = 33,033,386,391.25
  5. Step 5: Solve for x
    x = 33,033,386,391.25/229,249.01
  6. Step 6: Final answer
    x = 144,093.91

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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.