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Finding the Fourth Proportional to 164,523.35, 227,021.35 and 96,515.51

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Solution

The fourth proportional to 164,523.35, 227,021.35 and 96,515.51 is: 133,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,523.35 : 227,021.35 = 96,515.51 : x
  2. Step 2: Convert to fraction form
    164,523.35/227,021.35 = 96,515.51/x
  3. Step 3: Cross multiply
    164,523.35x = 227,021.35 × 96,515.51
  4. Step 4: Simplify right side
    164,523.35x = 21,911,081,376.14
  5. Step 5: Solve for x
    x = 21,911,081,376.14/164,523.35
  6. Step 6: Final answer
    x = 133,179.16

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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.