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Finding the Fourth Proportional to 127,428.24, 191,147.22 and 65,025.84

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Solution

The fourth proportional to 127,428.24, 191,147.22 and 65,025.84 is: 97,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,428.24 : 191,147.22 = 65,025.84 : x
  2. Step 2: Convert to fraction form
    127,428.24/191,147.22 = 65,025.84/x
  3. Step 3: Cross multiply
    127,428.24x = 191,147.22 × 65,025.84
  4. Step 4: Simplify right side
    127,428.24x = 12,429,508,544.16
  5. Step 5: Solve for x
    x = 12,429,508,544.16/127,428.24
  6. Step 6: Final answer
    x = 97,541.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.