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Finding the Fourth Proportional to 229,388.42, 343,893.18 and 101,213.45

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Solution

The fourth proportional to 229,388.42, 343,893.18 and 101,213.45 is: 151,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,388.42 : 343,893.18 = 101,213.45 : x
  2. Step 2: Convert to fraction form
    229,388.42/343,893.18 = 101,213.45/x
  3. Step 3: Cross multiply
    229,388.42x = 343,893.18 × 101,213.45
  4. Step 4: Simplify right side
    229,388.42x = 34,806,613,459.81
  5. Step 5: Solve for x
    x = 34,806,613,459.81/229,388.42
  6. Step 6: Final answer
    x = 151,736.58

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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.