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Finding the Fourth Proportional to 201,113.96, 301,670.89 and 51,348.89

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Solution

The fourth proportional to 201,113.96, 301,670.89 and 51,348.89 is: 77,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.96 : 301,670.89 = 51,348.89 : x
  2. Step 2: Convert to fraction form
    201,113.96/301,670.89 = 51,348.89/x
  3. Step 3: Cross multiply
    201,113.96x = 301,670.89 × 51,348.89
  4. Step 4: Simplify right side
    201,113.96x = 15,490,465,972.62
  5. Step 5: Solve for x
    x = 15,490,465,972.62/201,113.96
  6. Step 6: Final answer
    x = 77,023.33

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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.