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Finding the Fourth Proportional to 106,753.19, 160,148.21 and 43,607.61

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Solution

The fourth proportional to 106,753.19, 160,148.21 and 43,607.61 is: 65,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753.19 : 160,148.21 = 43,607.61 : x
  2. Step 2: Convert to fraction form
    106,753.19/160,148.21 = 43,607.61/x
  3. Step 3: Cross multiply
    106,753.19x = 160,148.21 × 43,607.61
  4. Step 4: Simplify right side
    106,753.19x = 6,983,680,465.84
  5. Step 5: Solve for x
    x = 6,983,680,465.84/106,753.19
  6. Step 6: Final answer
    x = 65,418.94

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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.