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Finding the Fourth Proportional to 102,351.91, 141,241.60 and 57,028.72

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Solution

The fourth proportional to 102,351.91, 141,241.60 and 57,028.72 is: 78,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,351.91 : 141,241.60 = 57,028.72 : x
  2. Step 2: Convert to fraction form
    102,351.91/141,241.60 = 57,028.72/x
  3. Step 3: Cross multiply
    102,351.91x = 141,241.60 × 57,028.72
  4. Step 4: Simplify right side
    102,351.91x = 8,054,827,658.75
  5. Step 5: Solve for x
    x = 8,054,827,658.75/102,351.91
  6. Step 6: Final answer
    x = 78,697.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.