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Finding the Fourth Proportional to 182,407.80, 273,573.30 and 77,230.20

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Solution

The fourth proportional to 182,407.80, 273,573.30 and 77,230.20 is: 115,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,407.80 : 273,573.30 = 77,230.20 : x
  2. Step 2: Convert to fraction form
    182,407.80/273,573.30 = 77,230.20/x
  3. Step 3: Cross multiply
    182,407.80x = 273,573.30 × 77,230.20
  4. Step 4: Simplify right side
    182,407.80x = 21,128,120,673.66
  5. Step 5: Solve for x
    x = 21,128,120,673.66/182,407.80
  6. Step 6: Final answer
    x = 115,829.04

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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.