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Finding the Fourth Proportional to 133,618.60, 184,409.22 and 77,032

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Solution

The fourth proportional to 133,618.60, 184,409.22 and 77,032 is: 106,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,618.60 : 184,409.22 = 77,032 : x
  2. Step 2: Convert to fraction form
    133,618.60/184,409.22 = 77,032/x
  3. Step 3: Cross multiply
    133,618.60x = 184,409.22 × 77,032
  4. Step 4: Simplify right side
    133,618.60x = 14,205,411,035.04
  5. Step 5: Solve for x
    x = 14,205,411,035.04/133,618.60
  6. Step 6: Final answer
    x = 106,313.13

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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.