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Finding the Fourth Proportional to 142,327.71, 196,412.30 and 78,665.51

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Solution

The fourth proportional to 142,327.71, 196,412.30 and 78,665.51 is: 108,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,327.71 : 196,412.30 = 78,665.51 : x
  2. Step 2: Convert to fraction form
    142,327.71/196,412.30 = 78,665.51/x
  3. Step 3: Cross multiply
    142,327.71x = 196,412.30 × 78,665.51
  4. Step 4: Simplify right side
    142,327.71x = 15,450,872,374.38
  5. Step 5: Solve for x
    x = 15,450,872,374.38/142,327.71
  6. Step 6: Final answer
    x = 108,558.43

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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.