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Finding the Fourth Proportional to 164,980.64, 227,673.92 and 89,529.16

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Solution

The fourth proportional to 164,980.64, 227,673.92 and 89,529.16 is: 123,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,980.64 : 227,673.92 = 89,529.16 : x
  2. Step 2: Convert to fraction form
    164,980.64/227,673.92 = 89,529.16/x
  3. Step 3: Cross multiply
    164,980.64x = 227,673.92 × 89,529.16
  4. Step 4: Simplify right side
    164,980.64x = 20,383,454,811.51
  5. Step 5: Solve for x
    x = 20,383,454,811.51/164,980.64
  6. Step 6: Final answer
    x = 123,550.59

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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.