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Finding the Fourth Proportional to 123,130.60, 184,706.38 and 38,868.23

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Solution

The fourth proportional to 123,130.60, 184,706.38 and 38,868.23 is: 58,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,130.60 : 184,706.38 = 38,868.23 : x
  2. Step 2: Convert to fraction form
    123,130.60/184,706.38 = 38,868.23/x
  3. Step 3: Cross multiply
    123,130.60x = 184,706.38 × 38,868.23
  4. Step 4: Simplify right side
    123,130.60x = 7,179,209,185.36
  5. Step 5: Solve for x
    x = 7,179,209,185.36/123,130.60
  6. Step 6: Final answer
    x = 58,305.65

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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.