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Finding the Fourth Proportional to 164,477.16, 226,954.05 and 96,468.48

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Solution

The fourth proportional to 164,477.16, 226,954.05 and 96,468.48 is: 133,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477.16 : 226,954.05 = 96,468.48 : x
  2. Step 2: Convert to fraction form
    164,477.16/226,954.05 = 96,468.48/x
  3. Step 3: Cross multiply
    164,477.16x = 226,954.05 × 96,468.48
  4. Step 4: Simplify right side
    164,477.16x = 21,893,912,233.34
  5. Step 5: Solve for x
    x = 21,893,912,233.34/164,477.16
  6. Step 6: Final answer
    x = 133,112.17

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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.