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Finding the Fourth Proportional to 96,692.48, 144,902.60 and 76,883.12

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Solution

The fourth proportional to 96,692.48, 144,902.60 and 76,883.12 is: 115,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,692.48 : 144,902.60 = 76,883.12 : x
  2. Step 2: Convert to fraction form
    96,692.48/144,902.60 = 76,883.12/x
  3. Step 3: Cross multiply
    96,692.48x = 144,902.60 × 76,883.12
  4. Step 4: Simplify right side
    96,692.48x = 11,140,563,984.11
  5. Step 5: Solve for x
    x = 11,140,563,984.11/96,692.48
  6. Step 6: Final answer
    x = 115,216.45

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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.