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Finding the Fourth Proportional to 144,187.77, 197,533.94 and 138,796.96

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Solution

The fourth proportional to 144,187.77, 197,533.94 and 138,796.96 is: 190,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,187.77 : 197,533.94 = 138,796.96 : x
  2. Step 2: Convert to fraction form
    144,187.77/197,533.94 = 138,796.96/x
  3. Step 3: Cross multiply
    144,187.77x = 197,533.94 × 138,796.96
  4. Step 4: Simplify right side
    144,187.77x = 27,417,110,368.82
  5. Step 5: Solve for x
    x = 27,417,110,368.82/144,187.77
  6. Step 6: Final answer
    x = 190,148.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.