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Finding the Fourth Proportional to 106,783.16, 147,289.38 and 64,297.40

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Solution

The fourth proportional to 106,783.16, 147,289.38 and 64,297.40 is: 88,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,783.16 : 147,289.38 = 64,297.40 : x
  2. Step 2: Convert to fraction form
    106,783.16/147,289.38 = 64,297.40/x
  3. Step 3: Cross multiply
    106,783.16x = 147,289.38 × 64,297.40
  4. Step 4: Simplify right side
    106,783.16x = 9,470,324,181.61
  5. Step 5: Solve for x
    x = 9,470,324,181.61/106,783.16
  6. Step 6: Final answer
    x = 88,687.43

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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.