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Finding the Fourth Proportional to 141,428.34, 195,172.20 and 77,767.20

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Solution

The fourth proportional to 141,428.34, 195,172.20 and 77,767.20 is: 107,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,428.34 : 195,172.20 = 77,767.20 : x
  2. Step 2: Convert to fraction form
    141,428.34/195,172.20 = 77,767.20/x
  3. Step 3: Cross multiply
    141,428.34x = 195,172.20 × 77,767.20
  4. Step 4: Simplify right side
    141,428.34x = 15,177,995,511.84
  5. Step 5: Solve for x
    x = 15,177,995,511.84/141,428.34
  6. Step 6: Final answer
    x = 107,319.34

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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.