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Finding the Fourth Proportional to 217,385.78, 325,797.98 and 97,355.04

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Solution

The fourth proportional to 217,385.78, 325,797.98 and 97,355.04 is: 145,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,385.78 : 325,797.98 = 97,355.04 : x
  2. Step 2: Convert to fraction form
    217,385.78/325,797.98 = 97,355.04/x
  3. Step 3: Cross multiply
    217,385.78x = 325,797.98 × 97,355.04
  4. Step 4: Simplify right side
    217,385.78x = 31,718,075,374.82
  5. Step 5: Solve for x
    x = 31,718,075,374.82/217,385.78
  6. Step 6: Final answer
    x = 145,906.85

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Why These Related Problems?

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