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Finding the Fourth Proportional to 201,420.83, 302,131.25 and 94,738.46

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Solution

The fourth proportional to 201,420.83, 302,131.25 and 94,738.46 is: 142,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420.83 : 302,131.25 = 94,738.46 : x
  2. Step 2: Convert to fraction form
    201,420.83/302,131.25 = 94,738.46/x
  3. Step 3: Cross multiply
    201,420.83x = 302,131.25 × 94,738.46
  4. Step 4: Simplify right side
    201,420.83x = 28,623,447,358.53
  5. Step 5: Solve for x
    x = 28,623,447,358.53/201,420.83
  6. Step 6: Final answer
    x = 142,107.69

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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.