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Finding the Fourth Proportional to 142,092.90, 212,491.90 and 106,094.54

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Solution

The fourth proportional to 142,092.90, 212,491.90 and 106,094.54 is: 158,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.90 : 212,491.90 = 106,094.54 : x
  2. Step 2: Convert to fraction form
    142,092.90/212,491.90 = 106,094.54/x
  3. Step 3: Cross multiply
    142,092.90x = 212,491.90 × 106,094.54
  4. Step 4: Simplify right side
    142,092.90x = 22,544,229,321.77
  5. Step 5: Solve for x
    x = 22,544,229,321.77/142,092.90
  6. Step 6: Final answer
    x = 158,658.39

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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.