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Finding the Fourth Proportional to 123,130.83, 184,696.30 and 29,636.58

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Solution

The fourth proportional to 123,130.83, 184,696.30 and 29,636.58 is: 44,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,130.83 : 184,696.30 = 29,636.58 : x
  2. Step 2: Convert to fraction form
    123,130.83/184,696.30 = 29,636.58/x
  3. Step 3: Cross multiply
    123,130.83x = 184,696.30 × 29,636.58
  4. Step 4: Simplify right side
    123,130.83x = 5,473,767,400.31
  5. Step 5: Solve for x
    x = 5,473,767,400.31/123,130.83
  6. Step 6: Final answer
    x = 44,454.89

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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.