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Finding the Fourth Proportional to 129,771.60, 194,657.40 and 46,654.80

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Solution

The fourth proportional to 129,771.60, 194,657.40 and 46,654.80 is: 69,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,771.60 : 194,657.40 = 46,654.80 : x
  2. Step 2: Convert to fraction form
    129,771.60/194,657.40 = 46,654.80/x
  3. Step 3: Cross multiply
    129,771.60x = 194,657.40 × 46,654.80
  4. Step 4: Simplify right side
    129,771.60x = 9,081,702,065.52
  5. Step 5: Solve for x
    x = 9,081,702,065.52/129,771.60
  6. Step 6: Final answer
    x = 69,982.20

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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.