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Finding the Fourth Proportional to 213,329.34, 294,234.87 and 148,801.90

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Solution

The fourth proportional to 213,329.34, 294,234.87 and 148,801.90 is: 205,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,329.34 : 294,234.87 = 148,801.90 : x
  2. Step 2: Convert to fraction form
    213,329.34/294,234.87 = 148,801.90/x
  3. Step 3: Cross multiply
    213,329.34x = 294,234.87 × 148,801.90
  4. Step 4: Simplify right side
    213,329.34x = 43,782,707,702.25
  5. Step 5: Solve for x
    x = 43,782,707,702.25/213,329.34
  6. Step 6: Final answer
    x = 205,235.28

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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.