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Finding the Fourth Proportional to 106,957.40, 160,436.10 and 73,779.80

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Solution

The fourth proportional to 106,957.40, 160,436.10 and 73,779.80 is: 110,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.40 : 160,436.10 = 73,779.80 : x
  2. Step 2: Convert to fraction form
    106,957.40/160,436.10 = 73,779.80/x
  3. Step 3: Cross multiply
    106,957.40x = 160,436.10 × 73,779.80
  4. Step 4: Simplify right side
    106,957.40x = 11,836,943,370.78
  5. Step 5: Solve for x
    x = 11,836,943,370.78/106,957.40
  6. Step 6: Final answer
    x = 110,669.70

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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.