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Finding the Fourth Proportional to 308,559.05, 462,890.04 and 106,146.98

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Solution

The fourth proportional to 308,559.05, 462,890.04 and 106,146.98 is: 159,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,559.05 : 462,890.04 = 106,146.98 : x
  2. Step 2: Convert to fraction form
    308,559.05/462,890.04 = 106,146.98/x
  3. Step 3: Cross multiply
    308,559.05x = 462,890.04 × 106,146.98
  4. Step 4: Simplify right side
    308,559.05x = 49,134,377,503.63
  5. Step 5: Solve for x
    x = 49,134,377,503.63/308,559.05
  6. Step 6: Final answer
    x = 159,238.17

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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.