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Finding the Fourth Proportional to 142,997.94, 197,342.43 and 86,398.38

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Solution

The fourth proportional to 142,997.94, 197,342.43 and 86,398.38 is: 119,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,997.94 : 197,342.43 = 86,398.38 : x
  2. Step 2: Convert to fraction form
    142,997.94/197,342.43 = 86,398.38/x
  3. Step 3: Cross multiply
    142,997.94x = 197,342.43 × 86,398.38
  4. Step 4: Simplify right side
    142,997.94x = 17,050,066,257.26
  5. Step 5: Solve for x
    x = 17,050,066,257.26/142,997.94
  6. Step 6: Final answer
    x = 119,232.95

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Why These Related Problems?

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