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Finding the Fourth Proportional to 129,348.60, 194,022.90 and 97,855.80

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Solution

The fourth proportional to 129,348.60, 194,022.90 and 97,855.80 is: 146,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,348.60 : 194,022.90 = 97,855.80 : x
  2. Step 2: Convert to fraction form
    129,348.60/194,022.90 = 97,855.80/x
  3. Step 3: Cross multiply
    129,348.60x = 194,022.90 × 97,855.80
  4. Step 4: Simplify right side
    129,348.60x = 18,986,266,097.82
  5. Step 5: Solve for x
    x = 18,986,266,097.82/129,348.60
  6. Step 6: Final answer
    x = 146,783.70

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1.5x scale

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.