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Finding the Fourth Proportional to 213,587.88, 294,821.22 and 149,941.32

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Solution

The fourth proportional to 213,587.88, 294,821.22 and 149,941.32 is: 206,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,587.88 : 294,821.22 = 149,941.32 : x
  2. Step 2: Convert to fraction form
    213,587.88/294,821.22 = 149,941.32/x
  3. Step 3: Cross multiply
    213,587.88x = 294,821.22 × 149,941.32
  4. Step 4: Simplify right side
    213,587.88x = 44,205,882,890.81
  5. Step 5: Solve for x
    x = 44,205,882,890.81/213,587.88
  6. Step 6: Final answer
    x = 206,968.12

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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.