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Finding the Fourth Proportional to 201,786.80, 302,697.60 and 52,025.76

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Solution

The fourth proportional to 201,786.80, 302,697.60 and 52,025.76 is: 78,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.80 : 302,697.60 = 52,025.76 : x
  2. Step 2: Convert to fraction form
    201,786.80/302,697.60 = 52,025.76/x
  3. Step 3: Cross multiply
    201,786.80x = 302,697.60 × 52,025.76
  4. Step 4: Simplify right side
    201,786.80x = 15,748,072,690.18
  5. Step 5: Solve for x
    x = 15,748,072,690.18/201,786.80
  6. Step 6: Final answer
    x = 78,043.13

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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.