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Finding the Fourth Proportional to 192,409.31, 265,501.84 and 106,356.67

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Solution

The fourth proportional to 192,409.31, 265,501.84 and 106,356.67 is: 146,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,409.31 : 265,501.84 = 106,356.67 : x
  2. Step 2: Convert to fraction form
    192,409.31/265,501.84 = 106,356.67/x
  3. Step 3: Cross multiply
    192,409.31x = 265,501.84 × 106,356.67
  4. Step 4: Simplify right side
    192,409.31x = 28,237,891,581.27
  5. Step 5: Solve for x
    x = 28,237,891,581.27/192,409.31
  6. Step 6: Final answer
    x = 146,759.49

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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.