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Finding the Fourth Proportional to 123,168.16, 184,779.88 and 38,933.22

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Solution

The fourth proportional to 123,168.16, 184,779.88 and 38,933.22 is: 58,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,168.16 : 184,779.88 = 38,933.22 : x
  2. Step 2: Convert to fraction form
    123,168.16/184,779.88 = 38,933.22/x
  3. Step 3: Cross multiply
    123,168.16x = 184,779.88 × 38,933.22
  4. Step 4: Simplify right side
    123,168.16x = 7,194,075,719.61
  5. Step 5: Solve for x
    x = 7,194,075,719.61/123,168.16
  6. Step 6: Final answer
    x = 58,408.57

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Why These Related Problems?

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