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Finding the Fourth Proportional to 206,960.96, 310,303.20 and 64,758.08

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Solution

The fourth proportional to 206,960.96, 310,303.20 and 64,758.08 is: 97,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960.96 : 310,303.20 = 64,758.08 : x
  2. Step 2: Convert to fraction form
    206,960.96/310,303.20 = 64,758.08/x
  3. Step 3: Cross multiply
    206,960.96x = 310,303.20 × 64,758.08
  4. Step 4: Simplify right side
    206,960.96x = 20,094,639,449.86
  5. Step 5: Solve for x
    x = 20,094,639,449.86/206,960.96
  6. Step 6: Final answer
    x = 97,093.86

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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.