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Finding the Fourth Proportional to 164,988.76, 227,512.38 and 97,907.80

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Solution

The fourth proportional to 164,988.76, 227,512.38 and 97,907.80 is: 135,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,988.76 : 227,512.38 = 97,907.80 : x
  2. Step 2: Convert to fraction form
    164,988.76/227,512.38 = 97,907.80/x
  3. Step 3: Cross multiply
    164,988.76x = 227,512.38 × 97,907.80
  4. Step 4: Simplify right side
    164,988.76x = 22,275,236,598.56
  5. Step 5: Solve for x
    x = 22,275,236,598.56/164,988.76
  6. Step 6: Final answer
    x = 135,010.63

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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.