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Finding the Fourth Proportional to 133,617.60, 184,407.84 and 77,031

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Solution

The fourth proportional to 133,617.60, 184,407.84 and 77,031 is: 106,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,617.60 : 184,407.84 = 77,031 : x
  2. Step 2: Convert to fraction form
    133,617.60/184,407.84 = 77,031/x
  3. Step 3: Cross multiply
    133,617.60x = 184,407.84 × 77,031
  4. Step 4: Simplify right side
    133,617.60x = 14,205,120,323.04
  5. Step 5: Solve for x
    x = 14,205,120,323.04/133,617.60
  6. Step 6: Final answer
    x = 106,311.75

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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.