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Finding the Fourth Proportional to 202,271.76, 303,801.36 and 164,859.48

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Solution

The fourth proportional to 202,271.76, 303,801.36 and 164,859.48 is: 247,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,271.76 : 303,801.36 = 164,859.48 : x
  2. Step 2: Convert to fraction form
    202,271.76/303,801.36 = 164,859.48/x
  3. Step 3: Cross multiply
    202,271.76x = 303,801.36 × 164,859.48
  4. Step 4: Simplify right side
    202,271.76x = 50,084,534,232.89
  5. Step 5: Solve for x
    x = 50,084,534,232.89/202,271.76
  6. Step 6: Final answer
    x = 247,610.12

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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.