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Finding the Fourth Proportional to 110,039.34, 151,947.38 and 69,824.46

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Solution

The fourth proportional to 110,039.34, 151,947.38 and 69,824.46 is: 96,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,039.34 : 151,947.38 = 69,824.46 : x
  2. Step 2: Convert to fraction form
    110,039.34/151,947.38 = 69,824.46/x
  3. Step 3: Cross multiply
    110,039.34x = 151,947.38 × 69,824.46
  4. Step 4: Simplify right side
    110,039.34x = 10,609,643,756.91
  5. Step 5: Solve for x
    x = 10,609,643,756.91/110,039.34
  6. Step 6: Final answer
    x = 96,416.82

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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.