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Finding the Fourth Proportional to 164,476.05, 226,978.86 and 96,494.19

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Solution

The fourth proportional to 164,476.05, 226,978.86 and 96,494.19 is: 133,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476.05 : 226,978.86 = 96,494.19 : x
  2. Step 2: Convert to fraction form
    164,476.05/226,978.86 = 96,494.19/x
  3. Step 3: Cross multiply
    164,476.05x = 226,978.86 × 96,494.19
  4. Step 4: Simplify right side
    164,476.05x = 21,902,141,242.82
  5. Step 5: Solve for x
    x = 21,902,141,242.82/164,476.05
  6. Step 6: Final answer
    x = 133,163.10

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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.