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Finding the Fourth Proportional to 207,842.60, 311,855.70 and 101,167.40

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Solution

The fourth proportional to 207,842.60, 311,855.70 and 101,167.40 is: 151,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842.60 : 311,855.70 = 101,167.40 : x
  2. Step 2: Convert to fraction form
    207,842.60/311,855.70 = 101,167.40/x
  3. Step 3: Cross multiply
    207,842.60x = 311,855.70 × 101,167.40
  4. Step 4: Simplify right side
    207,842.60x = 31,549,630,344.18
  5. Step 5: Solve for x
    x = 31,549,630,344.18/207,842.60
  6. Step 6: Final answer
    x = 151,795.78

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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.