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Finding the Fourth Proportional to 202,971.36, 304,458.32 and 53,210.31

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Solution

The fourth proportional to 202,971.36, 304,458.32 and 53,210.31 is: 79,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971.36 : 304,458.32 = 53,210.31 : x
  2. Step 2: Convert to fraction form
    202,971.36/304,458.32 = 53,210.31/x
  3. Step 3: Cross multiply
    202,971.36x = 304,458.32 × 53,210.31
  4. Step 4: Simplify right side
    202,971.36x = 16,200,321,993.86
  5. Step 5: Solve for x
    x = 16,200,321,993.86/202,971.36
  6. Step 6: Final answer
    x = 79,815.80

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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.