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Finding the Fourth Proportional to 207,841.60, 311,854.20 and 101,166.40

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Solution

The fourth proportional to 207,841.60, 311,854.20 and 101,166.40 is: 151,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841.60 : 311,854.20 = 101,166.40 : x
  2. Step 2: Convert to fraction form
    207,841.60/311,854.20 = 101,166.40/x
  3. Step 3: Cross multiply
    207,841.60x = 311,854.20 × 101,166.40
  4. Step 4: Simplify right side
    207,841.60x = 31,549,166,738.88
  5. Step 5: Solve for x
    x = 31,549,166,738.88/207,841.60
  6. Step 6: Final answer
    x = 151,794.28

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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.