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Finding the Fourth Proportional to 235,118.98, 353,949.62 and 214,193.50

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Solution

The fourth proportional to 235,118.98, 353,949.62 and 214,193.50 is: 322,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,118.98 : 353,949.62 = 214,193.50 : x
  2. Step 2: Convert to fraction form
    235,118.98/353,949.62 = 214,193.50/x
  3. Step 3: Cross multiply
    235,118.98x = 353,949.62 × 214,193.50
  4. Step 4: Simplify right side
    235,118.98x = 75,813,707,931.47
  5. Step 5: Solve for x
    x = 75,813,707,931.47/235,118.98
  6. Step 6: Final answer
    x = 322,448.27

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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.