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Finding the Fourth Proportional to 123,457.14, 184,106.59 and 109,849.14

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Solution

The fourth proportional to 123,457.14, 184,106.59 and 109,849.14 is: 163,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,457.14 : 184,106.59 = 109,849.14 : x
  2. Step 2: Convert to fraction form
    123,457.14/184,106.59 = 109,849.14/x
  3. Step 3: Cross multiply
    123,457.14x = 184,106.59 × 109,849.14
  4. Step 4: Simplify right side
    123,457.14x = 20,223,950,579.83
  5. Step 5: Solve for x
    x = 20,223,950,579.83/123,457.14
  6. Step 6: Final answer
    x = 163,813.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.