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Finding the Fourth Proportional to 164,349.84, 226,805.78 and 96,415.56

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Solution

The fourth proportional to 164,349.84, 226,805.78 and 96,415.56 is: 133,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,349.84 : 226,805.78 = 96,415.56 : x
  2. Step 2: Convert to fraction form
    164,349.84/226,805.78 = 96,415.56/x
  3. Step 3: Cross multiply
    164,349.84x = 226,805.78 × 96,415.56
  4. Step 4: Simplify right side
    164,349.84x = 21,867,606,289.94
  5. Step 5: Solve for x
    x = 21,867,606,289.94/164,349.84
  6. Step 6: Final answer
    x = 133,055.23

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1.5x scale

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.