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Finding the Fourth Proportional to 142,606.23, 196,798.92 and 78,074.39

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Solution

The fourth proportional to 142,606.23, 196,798.92 and 78,074.39 is: 107,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,606.23 : 196,798.92 = 78,074.39 : x
  2. Step 2: Convert to fraction form
    142,606.23/196,798.92 = 78,074.39/x
  3. Step 3: Cross multiply
    142,606.23x = 196,798.92 × 78,074.39
  4. Step 4: Simplify right side
    142,606.23x = 15,364,955,631.66
  5. Step 5: Solve for x
    x = 15,364,955,631.66/142,606.23
  6. Step 6: Final answer
    x = 107,743.93

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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.