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Finding the Fourth Proportional to 202,585.12, 303,930.48 and 113,904.16

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Solution

The fourth proportional to 202,585.12, 303,930.48 and 113,904.16 is: 170,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,585.12 : 303,930.48 = 113,904.16 : x
  2. Step 2: Convert to fraction form
    202,585.12/303,930.48 = 113,904.16/x
  3. Step 3: Cross multiply
    202,585.12x = 303,930.48 × 113,904.16
  4. Step 4: Simplify right side
    202,585.12x = 34,618,946,022.80
  5. Step 5: Solve for x
    x = 34,618,946,022.80/202,585.12
  6. Step 6: Final answer
    x = 170,885.93

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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.