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Finding the Fourth Proportional to 201,768.10, 302,627.85 and 83,427.10

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Solution

The fourth proportional to 201,768.10, 302,627.85 and 83,427.10 is: 125,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,768.10 : 302,627.85 = 83,427.10 : x
  2. Step 2: Convert to fraction form
    201,768.10/302,627.85 = 83,427.10/x
  3. Step 3: Cross multiply
    201,768.10x = 302,627.85 × 83,427.10
  4. Step 4: Simplify right side
    201,768.10x = 25,247,363,904.74
  5. Step 5: Solve for x
    x = 25,247,363,904.74/201,768.10
  6. Step 6: Final answer
    x = 125,130.60

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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.