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Finding the Fourth Proportional to 192,416.78, 265,512.16 and 106,364.17

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Solution

The fourth proportional to 192,416.78, 265,512.16 and 106,364.17 is: 146,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,416.78 : 265,512.16 = 106,364.17 : x
  2. Step 2: Convert to fraction form
    192,416.78/265,512.16 = 106,364.17/x
  3. Step 3: Cross multiply
    192,416.78x = 265,512.16 × 106,364.17
  4. Step 4: Simplify right side
    192,416.78x = 28,240,980,988.15
  5. Step 5: Solve for x
    x = 28,240,980,988.15/192,416.78
  6. Step 6: Final answer
    x = 146,769.84

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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.