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Finding the Fourth Proportional to 204,815.67, 307,223.55 and 57,071.67

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Solution

The fourth proportional to 204,815.67, 307,223.55 and 57,071.67 is: 85,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,815.67 : 307,223.55 = 57,071.67 : x
  2. Step 2: Convert to fraction form
    204,815.67/307,223.55 = 57,071.67/x
  3. Step 3: Cross multiply
    204,815.67x = 307,223.55 × 57,071.67
  4. Step 4: Simplify right side
    204,815.67x = 17,533,761,061.83
  5. Step 5: Solve for x
    x = 17,533,761,061.83/204,815.67
  6. Step 6: Final answer
    x = 85,607.52

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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.