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Finding the Fourth Proportional to 201,850.97, 302,774.94 and 52,078.53

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Solution

The fourth proportional to 201,850.97, 302,774.94 and 52,078.53 is: 78,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,850.97 : 302,774.94 = 52,078.53 : x
  2. Step 2: Convert to fraction form
    201,850.97/302,774.94 = 52,078.53/x
  3. Step 3: Cross multiply
    201,850.97x = 302,774.94 × 52,078.53
  4. Step 4: Simplify right side
    201,850.97x = 15,768,073,796.04
  5. Step 5: Solve for x
    x = 15,768,073,796.04/201,850.97
  6. Step 6: Final answer
    x = 78,117.40

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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.