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Finding the Fourth Proportional to 164,574.82, 227,113.41 and 92,954.98

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Solution

The fourth proportional to 164,574.82, 227,113.41 and 92,954.98 is: 128,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,574.82 : 227,113.41 = 92,954.98 : x
  2. Step 2: Convert to fraction form
    164,574.82/227,113.41 = 92,954.98/x
  3. Step 3: Cross multiply
    164,574.82x = 227,113.41 × 92,954.98
  4. Step 4: Simplify right side
    164,574.82x = 21,111,322,484.28
  5. Step 5: Solve for x
    x = 21,111,322,484.28/164,574.82
  6. Step 6: Final answer
    x = 128,277.96

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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.