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Finding the Fourth Proportional to 164,636.84, 227,199.12 and 96,640.64

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Solution

The fourth proportional to 164,636.84, 227,199.12 and 96,640.64 is: 133,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,636.84 : 227,199.12 = 96,640.64 : x
  2. Step 2: Convert to fraction form
    164,636.84/227,199.12 = 96,640.64/x
  3. Step 3: Cross multiply
    164,636.84x = 227,199.12 × 96,640.64
  4. Step 4: Simplify right side
    164,636.84x = 21,956,668,364.24
  5. Step 5: Solve for x
    x = 21,956,668,364.24/164,636.84
  6. Step 6: Final answer
    x = 133,364.25

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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.