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Finding the Fourth Proportional to 201,045.80, 301,799.10 and 117,986.60

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Solution

The fourth proportional to 201,045.80, 301,799.10 and 117,986.60 is: 177,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,045.80 : 301,799.10 = 117,986.60 : x
  2. Step 2: Convert to fraction form
    201,045.80/301,799.10 = 117,986.60/x
  3. Step 3: Cross multiply
    201,045.80x = 301,799.10 × 117,986.60
  4. Step 4: Simplify right side
    201,045.80x = 35,608,249,692.06
  5. Step 5: Solve for x
    x = 35,608,249,692.06/201,045.80
  6. Step 6: Final answer
    x = 177,115.11

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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.