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Finding the Fourth Proportional to 201,504.08, 278,075.66 and 110,858.11

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Solution

The fourth proportional to 201,504.08, 278,075.66 and 110,858.11 is: 152,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,504.08 : 278,075.66 = 110,858.11 : x
  2. Step 2: Convert to fraction form
    201,504.08/278,075.66 = 110,858.11/x
  3. Step 3: Cross multiply
    201,504.08x = 278,075.66 × 110,858.11
  4. Step 4: Simplify right side
    201,504.08x = 30,826,940,855.12
  5. Step 5: Solve for x
    x = 30,826,940,855.12/201,504.08
  6. Step 6: Final answer
    x = 152,984.20

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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.