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Finding the Fourth Proportional to 110,042.53, 151,929.26 and 75,644.46

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Solution

The fourth proportional to 110,042.53, 151,929.26 and 75,644.46 is: 104,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,042.53 : 151,929.26 = 75,644.46 : x
  2. Step 2: Convert to fraction form
    110,042.53/151,929.26 = 75,644.46/x
  3. Step 3: Cross multiply
    110,042.53x = 151,929.26 × 75,644.46
  4. Step 4: Simplify right side
    110,042.53x = 11,492,606,736.34
  5. Step 5: Solve for x
    x = 11,492,606,736.34/110,042.53
  6. Step 6: Final answer
    x = 104,437.87

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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.