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Finding the Fourth Proportional to 215,214.30, 322,675.65 and 109,946.70

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Solution

The fourth proportional to 215,214.30, 322,675.65 and 109,946.70 is: 164,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,214.30 : 322,675.65 = 109,946.70 : x
  2. Step 2: Convert to fraction form
    215,214.30/322,675.65 = 109,946.70/x
  3. Step 3: Cross multiply
    215,214.30x = 322,675.65 × 109,946.70
  4. Step 4: Simplify right side
    215,214.30x = 35,477,122,887.86
  5. Step 5: Solve for x
    x = 35,477,122,887.86/215,214.30
  6. Step 6: Final answer
    x = 164,845.57

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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.