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Finding the Fourth Proportional to 142,074.35, 196,061.65 and 78,412.15

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Solution

The fourth proportional to 142,074.35, 196,061.65 and 78,412.15 is: 108,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074.35 : 196,061.65 = 78,412.15 : x
  2. Step 2: Convert to fraction form
    142,074.35/196,061.65 = 78,412.15/x
  3. Step 3: Cross multiply
    142,074.35x = 196,061.65 × 78,412.15
  4. Step 4: Simplify right side
    142,074.35x = 15,373,615,392.69
  5. Step 5: Solve for x
    x = 15,373,615,392.69/142,074.35
  6. Step 6: Final answer
    x = 108,208.24

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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.