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Finding the Fourth Proportional to 129,766.40, 194,649.60 and 46,649.60

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Solution

The fourth proportional to 129,766.40, 194,649.60 and 46,649.60 is: 69,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,766.40 : 194,649.60 = 46,649.60 : x
  2. Step 2: Convert to fraction form
    129,766.40/194,649.60 = 46,649.60/x
  3. Step 3: Cross multiply
    129,766.40x = 194,649.60 × 46,649.60
  4. Step 4: Simplify right side
    129,766.40x = 9,080,325,980.16
  5. Step 5: Solve for x
    x = 9,080,325,980.16/129,766.40
  6. Step 6: Final answer
    x = 69,974.40

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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.