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Finding the Fourth Proportional to 142,116.06, 196,111.68 and 78,450.06

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Solution

The fourth proportional to 142,116.06, 196,111.68 and 78,450.06 is: 108,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.06 : 196,111.68 = 78,450.06 : x
  2. Step 2: Convert to fraction form
    142,116.06/196,111.68 = 78,450.06/x
  3. Step 3: Cross multiply
    142,116.06x = 196,111.68 × 78,450.06
  4. Step 4: Simplify right side
    142,116.06x = 15,384,973,062.70
  5. Step 5: Solve for x
    x = 15,384,973,062.70/142,116.06
  6. Step 6: Final answer
    x = 108,256.40

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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.