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Finding the Fourth Proportional to 142,477.25, 196,619.40 and 78,817.32

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Solution

The fourth proportional to 142,477.25, 196,619.40 and 78,817.32 is: 108,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,477.25 : 196,619.40 = 78,817.32 : x
  2. Step 2: Convert to fraction form
    142,477.25/196,619.40 = 78,817.32/x
  3. Step 3: Cross multiply
    142,477.25x = 196,619.40 × 78,817.32
  4. Step 4: Simplify right side
    142,477.25x = 15,497,014,168.01
  5. Step 5: Solve for x
    x = 15,497,014,168.01/142,477.25
  6. Step 6: Final answer
    x = 108,768.35

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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.