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Finding the Fourth Proportional to 137,862.48, 206,970.81 and 106,292.59

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Solution

The fourth proportional to 137,862.48, 206,970.81 and 106,292.59 is: 159,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,862.48 : 206,970.81 = 106,292.59 : x
  2. Step 2: Convert to fraction form
    137,862.48/206,970.81 = 106,292.59/x
  3. Step 3: Cross multiply
    137,862.48x = 206,970.81 × 106,292.59
  4. Step 4: Simplify right side
    137,862.48x = 21,999,464,228.54
  5. Step 5: Solve for x
    x = 21,999,464,228.54/137,862.48
  6. Step 6: Final answer
    x = 159,575.43

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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.