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Finding the Fourth Proportional to 123,143.04, 184,412.16 and 78,638.40

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Solution

The fourth proportional to 123,143.04, 184,412.16 and 78,638.40 is: 117,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,143.04 : 184,412.16 = 78,638.40 : x
  2. Step 2: Convert to fraction form
    123,143.04/184,412.16 = 78,638.40/x
  3. Step 3: Cross multiply
    123,143.04x = 184,412.16 × 78,638.40
  4. Step 4: Simplify right side
    123,143.04x = 14,501,877,202.94
  5. Step 5: Solve for x
    x = 14,501,877,202.94/123,143.04
  6. Step 6: Final answer
    x = 117,764.49

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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.