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Finding the Fourth Proportional to 309,882.97, 464,829.50 and 96,656.50

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Solution

The fourth proportional to 309,882.97, 464,829.50 and 96,656.50 is: 144,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,882.97 : 464,829.50 = 96,656.50 : x
  2. Step 2: Convert to fraction form
    309,882.97/464,829.50 = 96,656.50/x
  3. Step 3: Cross multiply
    309,882.97x = 464,829.50 × 96,656.50
  4. Step 4: Simplify right side
    309,882.97x = 44,928,792,566.75
  5. Step 5: Solve for x
    x = 44,928,792,566.75/309,882.97
  6. Step 6: Final answer
    x = 144,986.32

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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.