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Finding the Fourth Proportional to 201,447.51, 277,978.28 and 110,802.03

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Solution

The fourth proportional to 201,447.51, 277,978.28 and 110,802.03 is: 152,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,447.51 : 277,978.28 = 110,802.03 : x
  2. Step 2: Convert to fraction form
    201,447.51/277,978.28 = 110,802.03/x
  3. Step 3: Cross multiply
    201,447.51x = 277,978.28 × 110,802.03
  4. Step 4: Simplify right side
    201,447.51x = 30,800,557,165.90
  5. Step 5: Solve for x
    x = 30,800,557,165.90/201,447.51
  6. Step 6: Final answer
    x = 152,896.19

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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.