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Finding the Fourth Proportional to 123,146.39, 184,641.78 and 52,032.08

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Solution

The fourth proportional to 123,146.39, 184,641.78 and 52,032.08 is: 78,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,146.39 : 184,641.78 = 52,032.08 : x
  2. Step 2: Convert to fraction form
    123,146.39/184,641.78 = 52,032.08/x
  3. Step 3: Cross multiply
    123,146.39x = 184,641.78 × 52,032.08
  4. Step 4: Simplify right side
    123,146.39x = 9,607,295,868.30
  5. Step 5: Solve for x
    x = 9,607,295,868.30/123,146.39
  6. Step 6: Final answer
    x = 78,015.25

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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.