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Finding the Fourth Proportional to 192,496.32, 265,646.52 and 106,467.84

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Solution

The fourth proportional to 192,496.32, 265,646.52 and 106,467.84 is: 146,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,496.32 : 265,646.52 = 106,467.84 : x
  2. Step 2: Convert to fraction form
    192,496.32/265,646.52 = 106,467.84/x
  3. Step 3: Cross multiply
    192,496.32x = 265,646.52 × 106,467.84
  4. Step 4: Simplify right side
    192,496.32x = 28,282,811,187.92
  5. Step 5: Solve for x
    x = 28,282,811,187.92/192,496.32
  6. Step 6: Final answer
    x = 146,926.50

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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.