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Finding the Fourth Proportional to 142,609.37, 196,803.25 and 78,077.52

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Solution

The fourth proportional to 142,609.37, 196,803.25 and 78,077.52 is: 107,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,609.37 : 196,803.25 = 78,077.52 : x
  2. Step 2: Convert to fraction form
    142,609.37/196,803.25 = 78,077.52/x
  3. Step 3: Cross multiply
    142,609.37x = 196,803.25 × 78,077.52
  4. Step 4: Simplify right side
    142,609.37x = 15,365,909,687.94
  5. Step 5: Solve for x
    x = 15,365,909,687.94/142,609.37
  6. Step 6: Final answer
    x = 107,748.25

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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.