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Finding the Fourth Proportional to 229,234.82, 343,741.63 and 96,079.33

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Solution

The fourth proportional to 229,234.82, 343,741.63 and 96,079.33 is: 144,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,234.82 : 343,741.63 = 96,079.33 : x
  2. Step 2: Convert to fraction form
    229,234.82/343,741.63 = 96,079.33/x
  3. Step 3: Cross multiply
    229,234.82x = 343,741.63 × 96,079.33
  4. Step 4: Simplify right side
    229,234.82x = 33,026,465,503.51
  5. Step 5: Solve for x
    x = 33,026,465,503.51/229,234.82
  6. Step 6: Final answer
    x = 144,072.64

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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.