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Finding the Fourth Proportional to 142,998.94, 197,343.81 and 86,399.38

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Solution

The fourth proportional to 142,998.94, 197,343.81 and 86,399.38 is: 119,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,998.94 : 197,343.81 = 86,399.38 : x
  2. Step 2: Convert to fraction form
    142,998.94/197,343.81 = 86,399.38/x
  3. Step 3: Cross multiply
    142,998.94x = 197,343.81 × 86,399.38
  4. Step 4: Simplify right side
    142,998.94x = 17,050,382,830.84
  5. Step 5: Solve for x
    x = 17,050,382,830.84/142,998.94
  6. Step 6: Final answer
    x = 119,234.33

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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.