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Finding the Fourth Proportional to 208,493.74, 312,758.97 and 58,735.27

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Solution

The fourth proportional to 208,493.74, 312,758.97 and 58,735.27 is: 88,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,493.74 : 312,758.97 = 58,735.27 : x
  2. Step 2: Convert to fraction form
    208,493.74/312,758.97 = 58,735.27/x
  3. Step 3: Cross multiply
    208,493.74x = 312,758.97 × 58,735.27
  4. Step 4: Simplify right side
    208,493.74x = 18,369,982,547.87
  5. Step 5: Solve for x
    x = 18,369,982,547.87/208,493.74
  6. Step 6: Final answer
    x = 88,108.08

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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.