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Finding the Fourth Proportional to 201,671.24, 278,301.40 and 111,026.48

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Solution

The fourth proportional to 201,671.24, 278,301.40 and 111,026.48 is: 153,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,671.24 : 278,301.40 = 111,026.48 : x
  2. Step 2: Convert to fraction form
    201,671.24/278,301.40 = 111,026.48/x
  3. Step 3: Cross multiply
    201,671.24x = 278,301.40 × 111,026.48
  4. Step 4: Simplify right side
    201,671.24x = 30,898,824,821.07
  5. Step 5: Solve for x
    x = 30,898,824,821.07/201,671.24
  6. Step 6: Final answer
    x = 153,213.84

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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.