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Finding the Fourth Proportional to 133,629.60, 184,424.40 and 77,043

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Solution

The fourth proportional to 133,629.60, 184,424.40 and 77,043 is: 106,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,629.60 : 184,424.40 = 77,043 : x
  2. Step 2: Convert to fraction form
    133,629.60/184,424.40 = 77,043/x
  3. Step 3: Cross multiply
    133,629.60x = 184,424.40 × 77,043
  4. Step 4: Simplify right side
    133,629.60x = 14,208,609,049.20
  5. Step 5: Solve for x
    x = 14,208,609,049.20/133,629.60
  6. Step 6: Final answer
    x = 106,328.31

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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.