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Finding the Fourth Proportional to 230,007.44, 344,894.48 and 105,241.52

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Solution

The fourth proportional to 230,007.44, 344,894.48 and 105,241.52 is: 157,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,007.44 : 344,894.48 = 105,241.52 : x
  2. Step 2: Convert to fraction form
    230,007.44/344,894.48 = 105,241.52/x
  3. Step 3: Cross multiply
    230,007.44x = 344,894.48 × 105,241.52
  4. Step 4: Simplify right side
    230,007.44x = 36,297,219,314.81
  5. Step 5: Solve for x
    x = 36,297,219,314.81/230,007.44
  6. Step 6: Final answer
    x = 157,808.89

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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.