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Finding the Fourth Proportional to 137,433.96, 205,914.22 and 107,436.49

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Solution

The fourth proportional to 137,433.96, 205,914.22 and 107,436.49 is: 160,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.96 : 205,914.22 = 107,436.49 : x
  2. Step 2: Convert to fraction form
    137,433.96/205,914.22 = 107,436.49/x
  3. Step 3: Cross multiply
    137,433.96x = 205,914.22 × 107,436.49
  4. Step 4: Simplify right side
    137,433.96x = 22,122,700,254.51
  5. Step 5: Solve for x
    x = 22,122,700,254.51/137,433.96
  6. Step 6: Final answer
    x = 160,969.68

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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.