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Finding the Fourth Proportional to 106,075.70, 159,109.95 and 27,190.70

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Solution

The fourth proportional to 106,075.70, 159,109.95 and 27,190.70 is: 40,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,075.70 : 159,109.95 = 27,190.70 : x
  2. Step 2: Convert to fraction form
    106,075.70/159,109.95 = 27,190.70/x
  3. Step 3: Cross multiply
    106,075.70x = 159,109.95 × 27,190.70
  4. Step 4: Simplify right side
    106,075.70x = 4,326,310,917.47
  5. Step 5: Solve for x
    x = 4,326,310,917.47/106,075.70
  6. Step 6: Final answer
    x = 40,785.13

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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.