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Finding the Fourth Proportional to 143,459, 197,973.42 and 83,843

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Solution

The fourth proportional to 143,459, 197,973.42 and 83,843 is: 115,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,459 : 197,973.42 = 83,843 : x
  2. Step 2: Convert to fraction form
    143,459/197,973.42 = 83,843/x
  3. Step 3: Cross multiply
    143,459x = 197,973.42 × 83,843
  4. Step 4: Simplify right side
    143,459x = 16,598,685,453.06
  5. Step 5: Solve for x
    x = 16,598,685,453.06/143,459
  6. Step 6: Final answer
    x = 115,703.34

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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.