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Finding the Fourth Proportional to 119,017, 164,243.46 and 66,025

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Solution

The fourth proportional to 119,017, 164,243.46 and 66,025 is: 91,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,017 : 164,243.46 = 66,025 : x
  2. Step 2: Convert to fraction form
    119,017/164,243.46 = 66,025/x
  3. Step 3: Cross multiply
    119,017x = 164,243.46 × 66,025
  4. Step 4: Simplify right side
    119,017x = 10,844,174,446.50
  5. Step 5: Solve for x
    x = 10,844,174,446.50/119,017
  6. Step 6: Final answer
    x = 91,114.50

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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.