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Finding the Fourth Proportional to 164,476.94, 226,980.06 and 96,495.12

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Solution

The fourth proportional to 164,476.94, 226,980.06 and 96,495.12 is: 133,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476.94 : 226,980.06 = 96,495.12 : x
  2. Step 2: Convert to fraction form
    164,476.94/226,980.06 = 96,495.12/x
  3. Step 3: Cross multiply
    164,476.94x = 226,980.06 × 96,495.12
  4. Step 4: Simplify right side
    164,476.94x = 21,902,468,127.31
  5. Step 5: Solve for x
    x = 21,902,468,127.31/164,476.94
  6. Step 6: Final answer
    x = 133,164.37

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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.