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Finding the Fourth Proportional to 203,296.62, 304,959.90 and 53,535.86

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Solution

The fourth proportional to 203,296.62, 304,959.90 and 53,535.86 is: 80,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,296.62 : 304,959.90 = 53,535.86 : x
  2. Step 2: Convert to fraction form
    203,296.62/304,959.90 = 53,535.86/x
  3. Step 3: Cross multiply
    203,296.62x = 304,959.90 × 53,535.86
  4. Step 4: Simplify right side
    203,296.62x = 16,326,290,130.81
  5. Step 5: Solve for x
    x = 16,326,290,130.81/203,296.62
  6. Step 6: Final answer
    x = 80,307.73

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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.