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Finding the Fourth Proportional to 201,661.80, 302,249.70 and 117,259.80

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Solution

The fourth proportional to 201,661.80, 302,249.70 and 117,259.80 is: 175,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,661.80 : 302,249.70 = 117,259.80 : x
  2. Step 2: Convert to fraction form
    201,661.80/302,249.70 = 117,259.80/x
  3. Step 3: Cross multiply
    201,661.80x = 302,249.70 × 117,259.80
  4. Step 4: Simplify right side
    201,661.80x = 35,441,739,372.06
  5. Step 5: Solve for x
    x = 35,441,739,372.06/201,661.80
  6. Step 6: Final answer
    x = 175,748.40

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