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Finding the Fourth Proportional to 164,989.76, 227,513.76 and 97,908.80

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Solution

The fourth proportional to 164,989.76, 227,513.76 and 97,908.80 is: 135,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,989.76 : 227,513.76 = 97,908.80 : x
  2. Step 2: Convert to fraction form
    164,989.76/227,513.76 = 97,908.80/x
  3. Step 3: Cross multiply
    164,989.76x = 227,513.76 × 97,908.80
  4. Step 4: Simplify right side
    164,989.76x = 22,275,599,225.09
  5. Step 5: Solve for x
    x = 22,275,599,225.09/164,989.76
  6. Step 6: Final answer
    x = 135,012.01

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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.