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Finding the Fourth Proportional to 106,734.80, 160,159.80 and 44,411.60

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Solution

The fourth proportional to 106,734.80, 160,159.80 and 44,411.60 is: 66,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,734.80 : 160,159.80 = 44,411.60 : x
  2. Step 2: Convert to fraction form
    106,734.80/160,159.80 = 44,411.60/x
  3. Step 3: Cross multiply
    106,734.80x = 160,159.80 × 44,411.60
  4. Step 4: Simplify right side
    106,734.80x = 7,112,952,973.68
  5. Step 5: Solve for x
    x = 7,112,952,973.68/106,734.80
  6. Step 6: Final answer
    x = 66,641.37

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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.