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Finding the Fourth Proportional to 165,697.98, 228,692.98 and 97,710.88

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Solution

The fourth proportional to 165,697.98, 228,692.98 and 97,710.88 is: 134,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,697.98 : 228,692.98 = 97,710.88 : x
  2. Step 2: Convert to fraction form
    165,697.98/228,692.98 = 97,710.88/x
  3. Step 3: Cross multiply
    165,697.98x = 228,692.98 × 97,710.88
  4. Step 4: Simplify right side
    165,697.98x = 22,345,792,325.62
  5. Step 5: Solve for x
    x = 22,345,792,325.62/165,697.98
  6. Step 6: Final answer
    x = 134,858.57

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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.