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Finding the Fourth Proportional to 142,314.50, 196,377 and 78,643.64

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Solution

The fourth proportional to 142,314.50, 196,377 and 78,643.64 is: 108,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,314.50 : 196,377 = 78,643.64 : x
  2. Step 2: Convert to fraction form
    142,314.50/196,377 = 78,643.64/x
  3. Step 3: Cross multiply
    142,314.50x = 196,377 × 78,643.64
  4. Step 4: Simplify right side
    142,314.50x = 15,443,802,092.28
  5. Step 5: Solve for x
    x = 15,443,802,092.28/142,314.50
  6. Step 6: Final answer
    x = 108,518.82

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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.