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Finding the Fourth Proportional to 169,784.76, 234,239.40 and 105,224.52

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Solution

The fourth proportional to 169,784.76, 234,239.40 and 105,224.52 is: 145,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784.76 : 234,239.40 = 105,224.52 : x
  2. Step 2: Convert to fraction form
    169,784.76/234,239.40 = 105,224.52/x
  3. Step 3: Cross multiply
    169,784.76x = 234,239.40 × 105,224.52
  4. Step 4: Simplify right side
    169,784.76x = 24,647,728,430.09
  5. Step 5: Solve for x
    x = 24,647,728,430.09/169,784.76
  6. Step 6: Final answer
    x = 145,170.44

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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.