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Finding the Fourth Proportional to 106,930.60, 160,434.30 and 103,090.60

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Solution

The fourth proportional to 106,930.60, 160,434.30 and 103,090.60 is: 154,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.60 : 160,434.30 = 103,090.60 : x
  2. Step 2: Convert to fraction form
    106,930.60/160,434.30 = 103,090.60/x
  3. Step 3: Cross multiply
    106,930.60x = 160,434.30 × 103,090.60
  4. Step 4: Simplify right side
    106,930.60x = 16,539,268,247.58
  5. Step 5: Solve for x
    x = 16,539,268,247.58/106,930.60
  6. Step 6: Final answer
    x = 154,672.92

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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.