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Finding the Fourth Proportional to 106,133.17, 146,531.01 and 65,889.64

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Solution

The fourth proportional to 106,133.17, 146,531.01 and 65,889.64 is: 90,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,133.17 : 146,531.01 = 65,889.64 : x
  2. Step 2: Convert to fraction form
    106,133.17/146,531.01 = 65,889.64/x
  3. Step 3: Cross multiply
    106,133.17x = 146,531.01 × 65,889.64
  4. Step 4: Simplify right side
    106,133.17x = 9,654,875,378.50
  5. Step 5: Solve for x
    x = 9,654,875,378.50/106,133.17
  6. Step 6: Final answer
    x = 90,969.44

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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.