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Finding the Fourth Proportional to 212,448.77, 318,513.97 and 128,189.03

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Solution

The fourth proportional to 212,448.77, 318,513.97 and 128,189.03 is: 192,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,448.77 : 318,513.97 = 128,189.03 : x
  2. Step 2: Convert to fraction form
    212,448.77/318,513.97 = 128,189.03/x
  3. Step 3: Cross multiply
    212,448.77x = 318,513.97 × 128,189.03
  4. Step 4: Simplify right side
    212,448.77x = 40,829,997,215.06
  5. Step 5: Solve for x
    x = 40,829,997,215.06/212,448.77
  6. Step 6: Final answer
    x = 192,187.49

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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.