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Finding the Fourth Proportional to 200,781.68, 301,075.63 and 116,563.04

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Solution

The fourth proportional to 200,781.68, 301,075.63 and 116,563.04 is: 174,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.68 : 301,075.63 = 116,563.04 : x
  2. Step 2: Convert to fraction form
    200,781.68/301,075.63 = 116,563.04/x
  3. Step 3: Cross multiply
    200,781.68x = 301,075.63 × 116,563.04
  4. Step 4: Simplify right side
    200,781.68x = 35,094,289,658.62
  5. Step 5: Solve for x
    x = 35,094,289,658.62/200,781.68
  6. Step 6: Final answer
    x = 174,788.31

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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.