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Finding the Fourth Proportional to 164,611.73, 227,152.40 and 96,631.47

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Solution

The fourth proportional to 164,611.73, 227,152.40 and 96,631.47 is: 133,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,611.73 : 227,152.40 = 96,631.47 : x
  2. Step 2: Convert to fraction form
    164,611.73/227,152.40 = 96,631.47/x
  3. Step 3: Cross multiply
    164,611.73x = 227,152.40 × 96,631.47
  4. Step 4: Simplify right side
    164,611.73x = 21,950,069,842.87
  5. Step 5: Solve for x
    x = 21,950,069,842.87/164,611.73
  6. Step 6: Final answer
    x = 133,344.51

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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.