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Finding the Fourth Proportional to 201,994.56, 278,751.78 and 117,160.02

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Solution

The fourth proportional to 201,994.56, 278,751.78 and 117,160.02 is: 161,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,994.56 : 278,751.78 = 117,160.02 : x
  2. Step 2: Convert to fraction form
    201,994.56/278,751.78 = 117,160.02/x
  3. Step 3: Cross multiply
    201,994.56x = 278,751.78 × 117,160.02
  4. Step 4: Simplify right side
    201,994.56x = 32,658,564,119.84
  5. Step 5: Solve for x
    x = 32,658,564,119.84/201,994.56
  6. Step 6: Final answer
    x = 161,680.41

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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.