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Finding the Fourth Proportional to 272,097.20, 408,145.80 and 188,116.40

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Solution

The fourth proportional to 272,097.20, 408,145.80 and 188,116.40 is: 282,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097.20 : 408,145.80 = 188,116.40 : x
  2. Step 2: Convert to fraction form
    272,097.20/408,145.80 = 188,116.40/x
  3. Step 3: Cross multiply
    272,097.20x = 408,145.80 × 188,116.40
  4. Step 4: Simplify right side
    272,097.20x = 76,778,918,571.12
  5. Step 5: Solve for x
    x = 76,778,918,571.12/272,097.20
  6. Step 6: Final answer
    x = 282,174.60

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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.