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Finding the Fourth Proportional to 202,679.74, 304,035.41 and 118,448.65

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Solution

The fourth proportional to 202,679.74, 304,035.41 and 118,448.65 is: 177,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,679.74 : 304,035.41 = 118,448.65 : x
  2. Step 2: Convert to fraction form
    202,679.74/304,035.41 = 118,448.65/x
  3. Step 3: Cross multiply
    202,679.74x = 304,035.41 × 118,448.65
  4. Step 4: Simplify right side
    202,679.74x = 36,012,583,866.70
  5. Step 5: Solve for x
    x = 36,012,583,866.70/202,679.74
  6. Step 6: Final answer
    x = 177,682.21

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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.