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Finding the Fourth Proportional to 180,293.80, 270,228.36 and 73,611.16

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Solution

The fourth proportional to 180,293.80, 270,228.36 and 73,611.16 is: 110,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,293.80 : 270,228.36 = 73,611.16 : x
  2. Step 2: Convert to fraction form
    180,293.80/270,228.36 = 73,611.16/x
  3. Step 3: Cross multiply
    180,293.80x = 270,228.36 × 73,611.16
  4. Step 4: Simplify right side
    180,293.80x = 19,891,823,044.50
  5. Step 5: Solve for x
    x = 19,891,823,044.50/180,293.80
  6. Step 6: Final answer
    x = 110,330.04

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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.