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Finding the Fourth Proportional to 142,500, 196,632.96 and 78,829.14

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Solution

The fourth proportional to 142,500, 196,632.96 and 78,829.14 is: 108,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,500 : 196,632.96 = 78,829.14 : x
  2. Step 2: Convert to fraction form
    142,500/196,632.96 = 78,829.14/x
  3. Step 3: Cross multiply
    142,500x = 196,632.96 × 78,829.14
  4. Step 4: Simplify right side
    142,500x = 15,500,407,132.45
  5. Step 5: Solve for x
    x = 15,500,407,132.45/142,500
  6. Step 6: Final answer
    x = 108,774.79

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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.