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Finding the Fourth Proportional to 137,828.28, 190,202.28 and 77,404.21

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Solution

The fourth proportional to 137,828.28, 190,202.28 and 77,404.21 is: 106,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,828.28 : 190,202.28 = 77,404.21 : x
  2. Step 2: Convert to fraction form
    137,828.28/190,202.28 = 77,404.21/x
  3. Step 3: Cross multiply
    137,828.28x = 190,202.28 × 77,404.21
  4. Step 4: Simplify right side
    137,828.28x = 14,722,456,457.83
  5. Step 5: Solve for x
    x = 14,722,456,457.83/137,828.28
  6. Step 6: Final answer
    x = 106,817.38

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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.