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Finding the Fourth Proportional to 144,408.52, 199,223.28 and 112,522.06

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Solution

The fourth proportional to 144,408.52, 199,223.28 and 112,522.06 is: 155,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,408.52 : 199,223.28 = 112,522.06 : x
  2. Step 2: Convert to fraction form
    144,408.52/199,223.28 = 112,522.06/x
  3. Step 3: Cross multiply
    144,408.52x = 199,223.28 × 112,522.06
  4. Step 4: Simplify right side
    144,408.52x = 22,417,013,865.56
  5. Step 5: Solve for x
    x = 22,417,013,865.56/144,408.52
  6. Step 6: Final answer
    x = 155,233.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.