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Finding the Fourth Proportional to 144,802.44, 199,824.12 and 84,369.30

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Solution

The fourth proportional to 144,802.44, 199,824.12 and 84,369.30 is: 116,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,802.44 : 199,824.12 = 84,369.30 : x
  2. Step 2: Convert to fraction form
    144,802.44/199,824.12 = 84,369.30/x
  3. Step 3: Cross multiply
    144,802.44x = 199,824.12 × 84,369.30
  4. Step 4: Simplify right side
    144,802.44x = 16,859,021,127.52
  5. Step 5: Solve for x
    x = 16,859,021,127.52/144,802.44
  6. Step 6: Final answer
    x = 116,427.74

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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.