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Finding the Fourth Proportional to 133,509.46, 184,443.16 and 87,677.84

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Solution

The fourth proportional to 133,509.46, 184,443.16 and 87,677.84 is: 121,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509.46 : 184,443.16 = 87,677.84 : x
  2. Step 2: Convert to fraction form
    133,509.46/184,443.16 = 87,677.84/x
  3. Step 3: Cross multiply
    133,509.46x = 184,443.16 × 87,677.84
  4. Step 4: Simplify right side
    133,509.46x = 16,171,577,871.57
  5. Step 5: Solve for x
    x = 16,171,577,871.57/133,509.46
  6. Step 6: Final answer
    x = 121,126.83

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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.