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Finding the Fourth Proportional to 235,116.48, 353,945.85 and 214,191

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Solution

The fourth proportional to 235,116.48, 353,945.85 and 214,191 is: 322,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,116.48 : 353,945.85 = 214,191 : x
  2. Step 2: Convert to fraction form
    235,116.48/353,945.85 = 214,191/x
  3. Step 3: Cross multiply
    235,116.48x = 353,945.85 × 214,191
  4. Step 4: Simplify right side
    235,116.48x = 75,812,015,557.35
  5. Step 5: Solve for x
    x = 75,812,015,557.35/235,116.48
  6. Step 6: Final answer
    x = 322,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.