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Finding the Fourth Proportional to 106,134.00, 146,428.12 and 65,833.26

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Solution

The fourth proportional to 106,134.00, 146,428.12 and 65,833.26 is: 90,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,134.00 : 146,428.12 = 65,833.26 : x
  2. Step 2: Convert to fraction form
    106,134.00/146,428.12 = 65,833.26/x
  3. Step 3: Cross multiply
    106,134.00x = 146,428.12 × 65,833.26
  4. Step 4: Simplify right side
    106,134.00x = 9,639,839,598.55
  5. Step 5: Solve for x
    x = 9,639,839,598.55/106,134.00
  6. Step 6: Final answer
    x = 90,827.07

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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.