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Finding the Fourth Proportional to 164,516.82, 227,048.53 and 99,971.16

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Solution

The fourth proportional to 164,516.82, 227,048.53 and 99,971.16 is: 137,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,516.82 : 227,048.53 = 99,971.16 : x
  2. Step 2: Convert to fraction form
    164,516.82/227,048.53 = 99,971.16/x
  3. Step 3: Cross multiply
    164,516.82x = 227,048.53 × 99,971.16
  4. Step 4: Simplify right side
    164,516.82x = 22,698,304,920.39
  5. Step 5: Solve for x
    x = 22,698,304,920.39/164,516.82
  6. Step 6: Final answer
    x = 137,969.51

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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.