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Finding the Fourth Proportional to 161,913.72, 223,364.72 and 105,304.44

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Solution

The fourth proportional to 161,913.72, 223,364.72 and 105,304.44 is: 145,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,913.72 : 223,364.72 = 105,304.44 : x
  2. Step 2: Convert to fraction form
    161,913.72/223,364.72 = 105,304.44/x
  3. Step 3: Cross multiply
    161,913.72x = 223,364.72 × 105,304.44
  4. Step 4: Simplify right side
    161,913.72x = 23,521,296,755.36
  5. Step 5: Solve for x
    x = 23,521,296,755.36/161,913.72
  6. Step 6: Final answer
    x = 145,270.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.