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Finding the Fourth Proportional to 144,201.01, 198,996.26 and 83,807.01

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Solution

The fourth proportional to 144,201.01, 198,996.26 and 83,807.01 is: 115,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,201.01 : 198,996.26 = 83,807.01 : x
  2. Step 2: Convert to fraction form
    144,201.01/198,996.26 = 83,807.01/x
  3. Step 3: Cross multiply
    144,201.01x = 198,996.26 × 83,807.01
  4. Step 4: Simplify right side
    144,201.01x = 16,677,281,551.78
  5. Step 5: Solve for x
    x = 16,677,281,551.78/144,201.01
  6. Step 6: Final answer
    x = 115,653.01

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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.