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Finding the Fourth Proportional to 142,083.37, 196,072.05 and 77,550.47

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Solution

The fourth proportional to 142,083.37, 196,072.05 and 77,550.47 is: 107,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083.37 : 196,072.05 = 77,550.47 : x
  2. Step 2: Convert to fraction form
    142,083.37/196,072.05 = 77,550.47/x
  3. Step 3: Cross multiply
    142,083.37x = 196,072.05 × 77,550.47
  4. Step 4: Simplify right side
    142,083.37x = 15,205,479,335.06
  5. Step 5: Solve for x
    x = 15,205,479,335.06/142,083.37
  6. Step 6: Final answer
    x = 107,018.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.