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Finding the Fourth Proportional to 164,551.40, 227,105.15 and 96,605.84

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Solution

The fourth proportional to 164,551.40, 227,105.15 and 96,605.84 is: 133,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,551.40 : 227,105.15 = 96,605.84 : x
  2. Step 2: Convert to fraction form
    164,551.40/227,105.15 = 96,605.84/x
  3. Step 3: Cross multiply
    164,551.40x = 227,105.15 × 96,605.84
  4. Step 4: Simplify right side
    164,551.40x = 21,939,683,784.08
  5. Step 5: Solve for x
    x = 21,939,683,784.08/164,551.40
  6. Step 6: Final answer
    x = 133,330.28

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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.