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Finding the Fourth Proportional to 256,903.12, 354,528.84 and 154,933.84

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Solution

The fourth proportional to 256,903.12, 354,528.84 and 154,933.84 is: 213,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,903.12 : 354,528.84 = 154,933.84 : x
  2. Step 2: Convert to fraction form
    256,903.12/354,528.84 = 154,933.84/x
  3. Step 3: Cross multiply
    256,903.12x = 354,528.84 × 154,933.84
  4. Step 4: Simplify right side
    256,903.12x = 54,928,514,571.95
  5. Step 5: Solve for x
    x = 54,928,514,571.95/256,903.12
  6. Step 6: Final answer
    x = 213,810.23

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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.