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Finding the Fourth Proportional to 142,910.58, 214,365.87 and 49,416.33

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Solution

The fourth proportional to 142,910.58, 214,365.87 and 49,416.33 is: 74,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,910.58 : 214,365.87 = 49,416.33 : x
  2. Step 2: Convert to fraction form
    142,910.58/214,365.87 = 49,416.33/x
  3. Step 3: Cross multiply
    142,910.58x = 214,365.87 × 49,416.33
  4. Step 4: Simplify right side
    142,910.58x = 10,593,174,031.74
  5. Step 5: Solve for x
    x = 10,593,174,031.74/142,910.58
  6. Step 6: Final answer
    x = 74,124.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.