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Finding the Fourth Proportional to 106,888.68, 160,360.34 and 87,943.77

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Solution

The fourth proportional to 106,888.68, 160,360.34 and 87,943.77 is: 131,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,888.68 : 160,360.34 = 87,943.77 : x
  2. Step 2: Convert to fraction form
    106,888.68/160,360.34 = 87,943.77/x
  3. Step 3: Cross multiply
    106,888.68x = 160,360.34 × 87,943.77
  4. Step 4: Simplify right side
    106,888.68x = 14,102,692,418.36
  5. Step 5: Solve for x
    x = 14,102,692,418.36/106,888.68
  6. Step 6: Final answer
    x = 131,938.13

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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.