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Finding the Fourth Proportional to 137,315.20, 206,102.40 and 84,827.20

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Solution

The fourth proportional to 137,315.20, 206,102.40 and 84,827.20 is: 127,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.20 : 206,102.40 = 84,827.20 : x
  2. Step 2: Convert to fraction form
    137,315.20/206,102.40 = 84,827.20/x
  3. Step 3: Cross multiply
    137,315.20x = 206,102.40 × 84,827.20
  4. Step 4: Simplify right side
    137,315.20x = 17,483,089,505.28
  5. Step 5: Solve for x
    x = 17,483,089,505.28/137,315.20
  6. Step 6: Final answer
    x = 127,320.86

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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.