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Finding the Fourth Proportional to 135,025.36, 186,071.88 and 97,228.24

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Solution

The fourth proportional to 135,025.36, 186,071.88 and 97,228.24 is: 133,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,025.36 : 186,071.88 = 97,228.24 : x
  2. Step 2: Convert to fraction form
    135,025.36/186,071.88 = 97,228.24/x
  3. Step 3: Cross multiply
    135,025.36x = 186,071.88 × 97,228.24
  4. Step 4: Simplify right side
    135,025.36x = 18,091,441,405.89
  5. Step 5: Solve for x
    x = 18,091,441,405.89/135,025.36
  6. Step 6: Final answer
    x = 133,985.51

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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.