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Finding the Fourth Proportional to 106,423.22, 146,711.45 and 83,722.79

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Solution

The fourth proportional to 106,423.22, 146,711.45 and 83,722.79 is: 115,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423.22 : 146,711.45 = 83,722.79 : x
  2. Step 2: Convert to fraction form
    106,423.22/146,711.45 = 83,722.79/x
  3. Step 3: Cross multiply
    106,423.22x = 146,711.45 × 83,722.79
  4. Step 4: Simplify right side
    106,423.22x = 12,283,090,976.08
  5. Step 5: Solve for x
    x = 12,283,090,976.08/106,423.22
  6. Step 6: Final answer
    x = 115,417.39

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