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Finding the Fourth Proportional to 306,642.42, 459,796.68 and 106,909.11

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Solution

The fourth proportional to 306,642.42, 459,796.68 and 106,909.11 is: 160,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642.42 : 459,796.68 = 106,909.11 : x
  2. Step 2: Convert to fraction form
    306,642.42/459,796.68 = 106,909.11/x
  3. Step 3: Cross multiply
    306,642.42x = 459,796.68 × 106,909.11
  4. Step 4: Simplify right side
    306,642.42x = 49,156,453,839.75
  5. Step 5: Solve for x
    x = 49,156,453,839.75/306,642.42
  6. Step 6: Final answer
    x = 160,305.46

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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.