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Finding the Fourth Proportional to 106,922, 147,382.38 and 84,225.08

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Solution

The fourth proportional to 106,922, 147,382.38 and 84,225.08 is: 116,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,922 : 147,382.38 = 84,225.08 : x
  2. Step 2: Convert to fraction form
    106,922/147,382.38 = 84,225.08/x
  3. Step 3: Cross multiply
    106,922x = 147,382.38 × 84,225.08
  4. Step 4: Simplify right side
    106,922x = 12,413,292,746.09
  5. Step 5: Solve for x
    x = 12,413,292,746.09/106,922
  6. Step 6: Final answer
    x = 116,096.71

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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.