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Finding the Fourth Proportional to 144,647.64, 199,628.28 and 83,395.44

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Solution

The fourth proportional to 144,647.64, 199,628.28 and 83,395.44 is: 115,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,647.64 : 199,628.28 = 83,395.44 : x
  2. Step 2: Convert to fraction form
    144,647.64/199,628.28 = 83,395.44/x
  3. Step 3: Cross multiply
    144,647.64x = 199,628.28 × 83,395.44
  4. Step 4: Simplify right side
    144,647.64x = 16,648,088,247.04
  5. Step 5: Solve for x
    x = 16,648,088,247.04/144,647.64
  6. Step 6: Final answer
    x = 115,094.09

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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.