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Finding the Fourth Proportional to 100,296.66, 149,548.32 and 97,541.04

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Solution

The fourth proportional to 100,296.66, 149,548.32 and 97,541.04 is: 145,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296.66 : 149,548.32 = 97,541.04 : x
  2. Step 2: Convert to fraction form
    100,296.66/149,548.32 = 97,541.04/x
  3. Step 3: Cross multiply
    100,296.66x = 149,548.32 × 97,541.04
  4. Step 4: Simplify right side
    100,296.66x = 14,587,098,949.52
  5. Step 5: Solve for x
    x = 14,587,098,949.52/100,296.66
  6. Step 6: Final answer
    x = 145,439.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.