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Finding the Fourth Proportional to 201,284.30, 301,926.25 and 51,524.35

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Solution

The fourth proportional to 201,284.30, 301,926.25 and 51,524.35 is: 77,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284.30 : 301,926.25 = 51,524.35 : x
  2. Step 2: Convert to fraction form
    201,284.30/301,926.25 = 51,524.35/x
  3. Step 3: Cross multiply
    201,284.30x = 301,926.25 × 51,524.35
  4. Step 4: Simplify right side
    201,284.30x = 15,556,553,779.19
  5. Step 5: Solve for x
    x = 15,556,553,779.19/201,284.30
  6. Step 6: Final answer
    x = 77,286.47

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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.