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Finding the Fourth Proportional to 135,024.36, 186,070.50 and 97,227.24

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Solution

The fourth proportional to 135,024.36, 186,070.50 and 97,227.24 is: 133,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,024.36 : 186,070.50 = 97,227.24 : x
  2. Step 2: Convert to fraction form
    135,024.36/186,070.50 = 97,227.24/x
  3. Step 3: Cross multiply
    135,024.36x = 186,070.50 × 97,227.24
  4. Step 4: Simplify right side
    135,024.36x = 18,091,121,160.42
  5. Step 5: Solve for x
    x = 18,091,121,160.42/135,024.36
  6. Step 6: Final answer
    x = 133,984.13

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