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Finding the Fourth Proportional to 201,167.19, 301,750.43 and 51,407.51

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Solution

The fourth proportional to 201,167.19, 301,750.43 and 51,407.51 is: 77,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,167.19 : 301,750.43 = 51,407.51 : x
  2. Step 2: Convert to fraction form
    201,167.19/301,750.43 = 51,407.51/x
  3. Step 3: Cross multiply
    201,167.19x = 301,750.43 × 51,407.51
  4. Step 4: Simplify right side
    201,167.19x = 15,512,236,481.94
  5. Step 5: Solve for x
    x = 15,512,236,481.94/201,167.19
  6. Step 6: Final answer
    x = 77,111.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.