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Finding the Fourth Proportional to 133,422.16, 184,145.16 and 76,823.12

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Solution

The fourth proportional to 133,422.16, 184,145.16 and 76,823.12 is: 106,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,422.16 : 184,145.16 = 76,823.12 : x
  2. Step 2: Convert to fraction form
    133,422.16/184,145.16 = 76,823.12/x
  3. Step 3: Cross multiply
    133,422.16x = 184,145.16 × 76,823.12
  4. Step 4: Simplify right side
    133,422.16x = 14,146,605,724.10
  5. Step 5: Solve for x
    x = 14,146,605,724.10/133,422.16
  6. Step 6: Final answer
    x = 106,028.91

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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.