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Finding the Fourth Proportional to 201,730.90, 302,596.35 and 138,745.30

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Solution

The fourth proportional to 201,730.90, 302,596.35 and 138,745.30 is: 208,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,730.90 : 302,596.35 = 138,745.30 : x
  2. Step 2: Convert to fraction form
    201,730.90/302,596.35 = 138,745.30/x
  3. Step 3: Cross multiply
    201,730.90x = 302,596.35 × 138,745.30
  4. Step 4: Simplify right side
    201,730.90x = 41,983,821,359.66
  5. Step 5: Solve for x
    x = 41,983,821,359.66/201,730.90
  6. Step 6: Final answer
    x = 208,117.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.