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Finding the Fourth Proportional to 107,323.32, 160,961.94 and 67,323

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Solution

The fourth proportional to 107,323.32, 160,961.94 and 67,323 is: 100,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,323.32 : 160,961.94 = 67,323 : x
  2. Step 2: Convert to fraction form
    107,323.32/160,961.94 = 67,323/x
  3. Step 3: Cross multiply
    107,323.32x = 160,961.94 × 67,323
  4. Step 4: Simplify right side
    107,323.32x = 10,836,440,686.62
  5. Step 5: Solve for x
    x = 10,836,440,686.62/107,323.32
  6. Step 6: Final answer
    x = 100,970.05

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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.