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Finding the Fourth Proportional to 193,005.20, 289,498.20 and 99,520.40

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Solution

The fourth proportional to 193,005.20, 289,498.20 and 99,520.40 is: 149,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,005.20 : 289,498.20 = 99,520.40 : x
  2. Step 2: Convert to fraction form
    193,005.20/289,498.20 = 99,520.40/x
  3. Step 3: Cross multiply
    193,005.20x = 289,498.20 × 99,520.40
  4. Step 4: Simplify right side
    193,005.20x = 28,810,976,663.28
  5. Step 5: Solve for x
    x = 28,810,976,663.28/193,005.20
  6. Step 6: Final answer
    x = 149,275.65

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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.