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Finding the Fourth Proportional to 106,055.33, 159,085.01 and 84,897.11

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Solution

The fourth proportional to 106,055.33, 159,085.01 and 84,897.11 is: 127,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,055.33 : 159,085.01 = 84,897.11 : x
  2. Step 2: Convert to fraction form
    106,055.33/159,085.01 = 84,897.11/x
  3. Step 3: Cross multiply
    106,055.33x = 159,085.01 × 84,897.11
  4. Step 4: Simplify right side
    106,055.33x = 13,505,858,203.28
  5. Step 5: Solve for x
    x = 13,505,858,203.28/106,055.33
  6. Step 6: Final answer
    x = 127,347.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.