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Finding the Fourth Proportional to 102,107.38, 140,911.32 and 61,828.60

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Solution

The fourth proportional to 102,107.38, 140,911.32 and 61,828.60 is: 85,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.38 : 140,911.32 = 61,828.60 : x
  2. Step 2: Convert to fraction form
    102,107.38/140,911.32 = 61,828.60/x
  3. Step 3: Cross multiply
    102,107.38x = 140,911.32 × 61,828.60
  4. Step 4: Simplify right side
    102,107.38x = 8,712,349,639.75
  5. Step 5: Solve for x
    x = 8,712,349,639.75/102,107.38
  6. Step 6: Final answer
    x = 85,325.37

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Why These Related Problems?

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