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Finding the Fourth Proportional to 123,315.77, 184,996.98 and 39,097.13

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Solution

The fourth proportional to 123,315.77, 184,996.98 and 39,097.13 is: 58,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,315.77 : 184,996.98 = 39,097.13 : x
  2. Step 2: Convert to fraction form
    123,315.77/184,996.98 = 39,097.13/x
  3. Step 3: Cross multiply
    123,315.77x = 184,996.98 × 39,097.13
  4. Step 4: Simplify right side
    123,315.77x = 7,232,851,292.55
  5. Step 5: Solve for x
    x = 7,232,851,292.55/123,315.77
  6. Step 6: Final answer
    x = 58,653.09

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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.