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Finding the Fourth Proportional to 272,043.20, 408,064.80 and 188,062.40

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Solution

The fourth proportional to 272,043.20, 408,064.80 and 188,062.40 is: 282,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,043.20 : 408,064.80 = 188,062.40 : x
  2. Step 2: Convert to fraction form
    272,043.20/408,064.80 = 188,062.40/x
  3. Step 3: Cross multiply
    272,043.20x = 408,064.80 × 188,062.40
  4. Step 4: Simplify right side
    272,043.20x = 76,741,645,643.52
  5. Step 5: Solve for x
    x = 76,741,645,643.52/272,043.20
  6. Step 6: Final answer
    x = 282,093.60

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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.