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Finding the Fourth Proportional to 201,696.30, 302,544.45 and 113,222.70

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Solution

The fourth proportional to 201,696.30, 302,544.45 and 113,222.70 is: 169,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,696.30 : 302,544.45 = 113,222.70 : x
  2. Step 2: Convert to fraction form
    201,696.30/302,544.45 = 113,222.70/x
  3. Step 3: Cross multiply
    201,696.30x = 302,544.45 × 113,222.70
  4. Step 4: Simplify right side
    201,696.30x = 34,254,899,499.02
  5. Step 5: Solve for x
    x = 34,254,899,499.02/201,696.30
  6. Step 6: Final answer
    x = 169,834.05

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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.