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Finding the Fourth Proportional to 212,898.49, 319,340.81 and 86,501.36

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Solution

The fourth proportional to 212,898.49, 319,340.81 and 86,501.36 is: 129,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,898.49 : 319,340.81 = 86,501.36 : x
  2. Step 2: Convert to fraction form
    212,898.49/319,340.81 = 86,501.36/x
  3. Step 3: Cross multiply
    212,898.49x = 319,340.81 × 86,501.36
  4. Step 4: Simplify right side
    212,898.49x = 27,623,415,383.11
  5. Step 5: Solve for x
    x = 27,623,415,383.11/212,898.49
  6. Step 6: Final answer
    x = 129,749.23

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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.