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Finding the Fourth Proportional to 165,603.84, 228,563.22 and 97,616.90

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Solution

The fourth proportional to 165,603.84, 228,563.22 and 97,616.90 is: 134,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,603.84 : 228,563.22 = 97,616.90 : x
  2. Step 2: Convert to fraction form
    165,603.84/228,563.22 = 97,616.90/x
  3. Step 3: Cross multiply
    165,603.84x = 228,563.22 × 97,616.90
  4. Step 4: Simplify right side
    165,603.84x = 22,311,631,359.52
  5. Step 5: Solve for x
    x = 22,311,631,359.52/165,603.84
  6. Step 6: Final answer
    x = 134,728.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.