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Finding the Fourth Proportional to 142,495.67, 213,674.49 and 58,222.37

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Solution

The fourth proportional to 142,495.67, 213,674.49 and 58,222.37 is: 87,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,495.67 : 213,674.49 = 58,222.37 : x
  2. Step 2: Convert to fraction form
    142,495.67/213,674.49 = 58,222.37/x
  3. Step 3: Cross multiply
    142,495.67x = 213,674.49 × 58,222.37
  4. Step 4: Simplify right side
    142,495.67x = 12,440,635,750.53
  5. Step 5: Solve for x
    x = 12,440,635,750.53/142,495.67
  6. Step 6: Final answer
    x = 87,305.36

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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.