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Finding the Fourth Proportional to 133,530.76, 184,272.06 and 76,942

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Solution

The fourth proportional to 133,530.76, 184,272.06 and 76,942 is: 106,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,530.76 : 184,272.06 = 76,942 : x
  2. Step 2: Convert to fraction form
    133,530.76/184,272.06 = 76,942/x
  3. Step 3: Cross multiply
    133,530.76x = 184,272.06 × 76,942
  4. Step 4: Simplify right side
    133,530.76x = 14,178,260,840.52
  5. Step 5: Solve for x
    x = 14,178,260,840.52/133,530.76
  6. Step 6: Final answer
    x = 106,179.74

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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.