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Finding the Fourth Proportional to 102,940.92, 142,038.28 and 64,678.30

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Solution

The fourth proportional to 102,940.92, 142,038.28 and 64,678.30 is: 89,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940.92 : 142,038.28 = 64,678.30 : x
  2. Step 2: Convert to fraction form
    102,940.92/142,038.28 = 64,678.30/x
  3. Step 3: Cross multiply
    102,940.92x = 142,038.28 × 64,678.30
  4. Step 4: Simplify right side
    102,940.92x = 9,186,794,428.65
  5. Step 5: Solve for x
    x = 9,186,794,428.65/102,940.92
  6. Step 6: Final answer
    x = 89,243.37

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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.