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Finding the Fourth Proportional to 130,033.68, 179,444.34 and 72,674.34

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Solution

The fourth proportional to 130,033.68, 179,444.34 and 72,674.34 is: 100,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033.68 : 179,444.34 = 72,674.34 : x
  2. Step 2: Convert to fraction form
    130,033.68/179,444.34 = 72,674.34/x
  3. Step 3: Cross multiply
    130,033.68x = 179,444.34 × 72,674.34
  4. Step 4: Simplify right side
    130,033.68x = 13,040,998,976.24
  5. Step 5: Solve for x
    x = 13,040,998,976.24/130,033.68
  6. Step 6: Final answer
    x = 100,289.39

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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.