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Finding the Fourth Proportional to 201,283.30, 301,924.75 and 51,523.35

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Solution

The fourth proportional to 201,283.30, 301,924.75 and 51,523.35 is: 77,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,283.30 : 301,924.75 = 51,523.35 : x
  2. Step 2: Convert to fraction form
    201,283.30/301,924.75 = 51,523.35/x
  3. Step 3: Cross multiply
    201,283.30x = 301,924.75 × 51,523.35
  4. Step 4: Simplify right side
    201,283.30x = 15,556,174,567.91
  5. Step 5: Solve for x
    x = 15,556,174,567.91/201,283.30
  6. Step 6: Final answer
    x = 77,284.97

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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.