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Finding the Fourth Proportional to 193,138.80, 289,319.40 and 99,697.20

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Solution

The fourth proportional to 193,138.80, 289,319.40 and 99,697.20 is: 149,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,138.80 : 289,319.40 = 99,697.20 : x
  2. Step 2: Convert to fraction form
    193,138.80/289,319.40 = 99,697.20/x
  3. Step 3: Cross multiply
    193,138.80x = 289,319.40 × 99,697.20
  4. Step 4: Simplify right side
    193,138.80x = 28,844,334,085.68
  5. Step 5: Solve for x
    x = 28,844,334,085.68/193,138.80
  6. Step 6: Final answer
    x = 149,345.10

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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.