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Finding the Fourth Proportional to 193,139.80, 289,320.90 and 99,698.20

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Solution

The fourth proportional to 193,139.80, 289,320.90 and 99,698.20 is: 149,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,139.80 : 289,320.90 = 99,698.20 : x
  2. Step 2: Convert to fraction form
    193,139.80/289,320.90 = 99,698.20/x
  3. Step 3: Cross multiply
    193,139.80x = 289,320.90 × 99,698.20
  4. Step 4: Simplify right side
    193,139.80x = 28,844,772,952.38
  5. Step 5: Solve for x
    x = 28,844,772,952.38/193,139.80
  6. Step 6: Final answer
    x = 149,346.60

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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.