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Finding the Fourth Proportional to 189,645.36, 284,567.40 and 123,069.84

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Solution

The fourth proportional to 189,645.36, 284,567.40 and 123,069.84 is: 184,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,645.36 : 284,567.40 = 123,069.84 : x
  2. Step 2: Convert to fraction form
    189,645.36/284,567.40 = 123,069.84/x
  3. Step 3: Cross multiply
    189,645.36x = 284,567.40 × 123,069.84
  4. Step 4: Simplify right side
    189,645.36x = 35,021,664,387.22
  5. Step 5: Solve for x
    x = 35,021,664,387.22/189,645.36
  6. Step 6: Final answer
    x = 184,669.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.