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Finding the Fourth Proportional to 201,667.80, 302,258.70 and 117,265.80

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Solution

The fourth proportional to 201,667.80, 302,258.70 and 117,265.80 is: 175,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,667.80 : 302,258.70 = 117,265.80 : x
  2. Step 2: Convert to fraction form
    201,667.80/302,258.70 = 117,265.80/x
  3. Step 3: Cross multiply
    201,667.80x = 302,258.70 × 117,265.80
  4. Step 4: Simplify right side
    201,667.80x = 35,444,608,262.46
  5. Step 5: Solve for x
    x = 35,444,608,262.46/201,667.80
  6. Step 6: Final answer
    x = 175,757.40

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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.