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Finding the Fourth Proportional to 164,549.81, 227,073.27 and 91,957.21

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Solution

The fourth proportional to 164,549.81, 227,073.27 and 91,957.21 is: 126,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,549.81 : 227,073.27 = 91,957.21 : x
  2. Step 2: Convert to fraction form
    164,549.81/227,073.27 = 91,957.21/x
  3. Step 3: Cross multiply
    164,549.81x = 227,073.27 × 91,957.21
  4. Step 4: Simplify right side
    164,549.81x = 20,881,024,151.93
  5. Step 5: Solve for x
    x = 20,881,024,151.93/164,549.81
  6. Step 6: Final answer
    x = 126,897.89

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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.