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Finding the Fourth Proportional to 100,920.96, 138,262.38 and 97,137.48

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Solution

The fourth proportional to 100,920.96, 138,262.38 and 97,137.48 is: 133,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920.96 : 138,262.38 = 97,137.48 : x
  2. Step 2: Convert to fraction form
    100,920.96/138,262.38 = 97,137.48/x
  3. Step 3: Cross multiply
    100,920.96x = 138,262.38 × 97,137.48
  4. Step 4: Simplify right side
    100,920.96x = 13,430,459,172.00
  5. Step 5: Solve for x
    x = 13,430,459,172.00/100,920.96
  6. Step 6: Final answer
    x = 133,078.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.