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Finding the Fourth Proportional to 215,832.90, 323,749.35 and 208,575.30

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Solution

The fourth proportional to 215,832.90, 323,749.35 and 208,575.30 is: 312,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,832.90 : 323,749.35 = 208,575.30 : x
  2. Step 2: Convert to fraction form
    215,832.90/323,749.35 = 208,575.30/x
  3. Step 3: Cross multiply
    215,832.90x = 323,749.35 × 208,575.30
  4. Step 4: Simplify right side
    215,832.90x = 67,526,117,801.06
  5. Step 5: Solve for x
    x = 67,526,117,801.06/215,832.90
  6. Step 6: Final answer
    x = 312,862.95

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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.