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Finding the Fourth Proportional to 254,919.95, 382,355.01 and 77,428.50

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Solution

The fourth proportional to 254,919.95, 382,355.01 and 77,428.50 is: 116,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,919.95 : 382,355.01 = 77,428.50 : x
  2. Step 2: Convert to fraction form
    254,919.95/382,355.01 = 77,428.50/x
  3. Step 3: Cross multiply
    254,919.95x = 382,355.01 × 77,428.50
  4. Step 4: Simplify right side
    254,919.95x = 29,605,174,891.79
  5. Step 5: Solve for x
    x = 29,605,174,891.79/254,919.95
  6. Step 6: Final answer
    x = 116,135.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.