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Finding the Fourth Proportional to 201,102.34, 301,653.24 and 51,342.64

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Solution

The fourth proportional to 201,102.34, 301,653.24 and 51,342.64 is: 77,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.34 : 301,653.24 = 51,342.64 : x
  2. Step 2: Convert to fraction form
    201,102.34/301,653.24 = 51,342.64/x
  3. Step 3: Cross multiply
    201,102.34x = 301,653.24 × 51,342.64
  4. Step 4: Simplify right side
    201,102.34x = 15,487,673,706.15
  5. Step 5: Solve for x
    x = 15,487,673,706.15/201,102.34
  6. Step 6: Final answer
    x = 77,013.89

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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.