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Finding the Fourth Proportional to 193,115.80, 289,673.70 and 130,130.20

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Solution

The fourth proportional to 193,115.80, 289,673.70 and 130,130.20 is: 195,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,115.80 : 289,673.70 = 130,130.20 : x
  2. Step 2: Convert to fraction form
    193,115.80/289,673.70 = 130,130.20/x
  3. Step 3: Cross multiply
    193,115.80x = 289,673.70 × 130,130.20
  4. Step 4: Simplify right side
    193,115.80x = 37,695,296,515.74
  5. Step 5: Solve for x
    x = 37,695,296,515.74/193,115.80
  6. Step 6: Final answer
    x = 195,195.30

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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.