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Finding the Fourth Proportional to 213,072.30, 293,950.32 and 149,451.66

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Solution

The fourth proportional to 213,072.30, 293,950.32 and 149,451.66 is: 206,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,072.30 : 293,950.32 = 149,451.66 : x
  2. Step 2: Convert to fraction form
    213,072.30/293,950.32 = 149,451.66/x
  3. Step 3: Cross multiply
    213,072.30x = 293,950.32 × 149,451.66
  4. Step 4: Simplify right side
    213,072.30x = 43,931,363,281.53
  5. Step 5: Solve for x
    x = 43,931,363,281.53/213,072.30
  6. Step 6: Final answer
    x = 206,180.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.