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Finding the Fourth Proportional to 306,630.36, 459,947.58 and 106,950

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Solution

The fourth proportional to 306,630.36, 459,947.58 and 106,950 is: 160,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,630.36 : 459,947.58 = 106,950 : x
  2. Step 2: Convert to fraction form
    306,630.36/459,947.58 = 106,950/x
  3. Step 3: Cross multiply
    306,630.36x = 459,947.58 × 106,950
  4. Step 4: Simplify right side
    306,630.36x = 49,191,393,681
  5. Step 5: Solve for x
    x = 49,191,393,681/306,630.36
  6. Step 6: Final answer
    x = 160,425.71

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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.