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Finding the Fourth Proportional to 106,903.68, 160,329.60 and 44,540.16

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Solution

The fourth proportional to 106,903.68, 160,329.60 and 44,540.16 is: 66,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.68 : 160,329.60 = 44,540.16 : x
  2. Step 2: Convert to fraction form
    106,903.68/160,329.60 = 44,540.16/x
  3. Step 3: Cross multiply
    106,903.68x = 160,329.60 × 44,540.16
  4. Step 4: Simplify right side
    106,903.68x = 7,141,106,036.74
  5. Step 5: Solve for x
    x = 7,141,106,036.74/106,903.68
  6. Step 6: Final answer
    x = 66,799.44

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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.