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Finding the Fourth Proportional to 107,223.75, 160,835.63 and 73,456.47

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Solution

The fourth proportional to 107,223.75, 160,835.63 and 73,456.47 is: 110,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223.75 : 160,835.63 = 73,456.47 : x
  2. Step 2: Convert to fraction form
    107,223.75/160,835.63 = 73,456.47/x
  3. Step 3: Cross multiply
    107,223.75x = 160,835.63 × 73,456.47
  4. Step 4: Simplify right side
    107,223.75x = 11,814,417,262.74
  5. Step 5: Solve for x
    x = 11,814,417,262.74/107,223.75
  6. Step 6: Final answer
    x = 110,184.71

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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.