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Finding the Fourth Proportional to 142,441.66, 196,572.45 and 78,783.76

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Solution

The fourth proportional to 142,441.66, 196,572.45 and 78,783.76 is: 108,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,441.66 : 196,572.45 = 78,783.76 : x
  2. Step 2: Convert to fraction form
    142,441.66/196,572.45 = 78,783.76/x
  3. Step 3: Cross multiply
    142,441.66x = 196,572.45 × 78,783.76
  4. Step 4: Simplify right side
    142,441.66x = 15,486,716,723.41
  5. Step 5: Solve for x
    x = 15,486,716,723.41/142,441.66
  6. Step 6: Final answer
    x = 108,723.23

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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.