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Finding the Fourth Proportional to 306,675.48, 459,881.96 and 106,936.76

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Solution

The fourth proportional to 306,675.48, 459,881.96 and 106,936.76 is: 160,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,675.48 : 459,881.96 = 106,936.76 : x
  2. Step 2: Convert to fraction form
    306,675.48/459,881.96 = 106,936.76/x
  3. Step 3: Cross multiply
    306,675.48x = 459,881.96 × 106,936.76
  4. Step 4: Simplify right side
    306,675.48x = 49,178,286,784.85
  5. Step 5: Solve for x
    x = 49,178,286,784.85/306,675.48
  6. Step 6: Final answer
    x = 160,359.37

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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.