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Finding the Fourth Proportional to 123,266.96, 184,928.14 and 39,032.16

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Solution

The fourth proportional to 123,266.96, 184,928.14 and 39,032.16 is: 58,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,266.96 : 184,928.14 = 39,032.16 : x
  2. Step 2: Convert to fraction form
    123,266.96/184,928.14 = 39,032.16/x
  3. Step 3: Cross multiply
    123,266.96x = 184,928.14 × 39,032.16
  4. Step 4: Simplify right side
    123,266.96x = 7,218,144,748.98
  5. Step 5: Solve for x
    x = 7,218,144,748.98/123,266.96
  6. Step 6: Final answer
    x = 58,557.01

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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.