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Finding the Fourth Proportional to 142,597.58, 196,783.92 and 78,072.68

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Solution

The fourth proportional to 142,597.58, 196,783.92 and 78,072.68 is: 107,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,597.58 : 196,783.92 = 78,072.68 : x
  2. Step 2: Convert to fraction form
    142,597.58/196,783.92 = 78,072.68/x
  3. Step 3: Cross multiply
    142,597.58x = 196,783.92 × 78,072.68
  4. Step 4: Simplify right side
    142,597.58x = 15,363,447,031.39
  5. Step 5: Solve for x
    x = 15,363,447,031.39/142,597.58
  6. Step 6: Final answer
    x = 107,739.89

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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.