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Finding the Fourth Proportional to 197,141.33, 272,055 and 106,497.32

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Solution

The fourth proportional to 197,141.33, 272,055 and 106,497.32 is: 146,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,141.33 : 272,055 = 106,497.32 : x
  2. Step 2: Convert to fraction form
    197,141.33/272,055 = 106,497.32/x
  3. Step 3: Cross multiply
    197,141.33x = 272,055 × 106,497.32
  4. Step 4: Simplify right side
    197,141.33x = 28,973,127,032.33
  5. Step 5: Solve for x
    x = 28,973,127,032.33/197,141.33
  6. Step 6: Final answer
    x = 146,966.28

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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.