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Finding the Fourth Proportional to 156,637.80, 234,827.10 and 82,765.80

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Solution

The fourth proportional to 156,637.80, 234,827.10 and 82,765.80 is: 124,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,637.80 : 234,827.10 = 82,765.80 : x
  2. Step 2: Convert to fraction form
    156,637.80/234,827.10 = 82,765.80/x
  3. Step 3: Cross multiply
    156,637.80x = 234,827.10 × 82,765.80
  4. Step 4: Simplify right side
    156,637.80x = 19,435,652,793.18
  5. Step 5: Solve for x
    x = 19,435,652,793.18/156,637.80
  6. Step 6: Final answer
    x = 124,080.22

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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.