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Finding the Fourth Proportional to 148,568.46, 205,002.81 and 84,893.95

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Solution

The fourth proportional to 148,568.46, 205,002.81 and 84,893.95 is: 117,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,568.46 : 205,002.81 = 84,893.95 : x
  2. Step 2: Convert to fraction form
    148,568.46/205,002.81 = 84,893.95/x
  3. Step 3: Cross multiply
    148,568.46x = 205,002.81 × 84,893.95
  4. Step 4: Simplify right side
    148,568.46x = 17,403,498,302.00
  5. Step 5: Solve for x
    x = 17,403,498,302.00/148,568.46
  6. Step 6: Final answer
    x = 117,141.27

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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.