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Finding the Fourth Proportional to 164,783.84, 227,321.52 and 97,668.32

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Solution

The fourth proportional to 164,783.84, 227,321.52 and 97,668.32 is: 134,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,783.84 : 227,321.52 = 97,668.32 : x
  2. Step 2: Convert to fraction form
    164,783.84/227,321.52 = 97,668.32/x
  3. Step 3: Cross multiply
    164,783.84x = 227,321.52 × 97,668.32
  4. Step 4: Simplify right side
    164,783.84x = 22,202,110,958.25
  5. Step 5: Solve for x
    x = 22,202,110,958.25/164,783.84
  6. Step 6: Final answer
    x = 134,734.76

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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.