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Finding the Fourth Proportional to 142,348.22, 196,440.60 and 78,686

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Solution

The fourth proportional to 142,348.22, 196,440.60 and 78,686 is: 108,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,348.22 : 196,440.60 = 78,686 : x
  2. Step 2: Convert to fraction form
    142,348.22/196,440.60 = 78,686/x
  3. Step 3: Cross multiply
    142,348.22x = 196,440.60 × 78,686
  4. Step 4: Simplify right side
    142,348.22x = 15,457,125,051.60
  5. Step 5: Solve for x
    x = 15,457,125,051.60/142,348.22
  6. Step 6: Final answer
    x = 108,586.71

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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.