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Finding the Fourth Proportional to 256,833.80, 354,399.57 and 147,973.74

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Solution

The fourth proportional to 256,833.80, 354,399.57 and 147,973.74 is: 204,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,833.80 : 354,399.57 = 147,973.74 : x
  2. Step 2: Convert to fraction form
    256,833.80/354,399.57 = 147,973.74/x
  3. Step 3: Cross multiply
    256,833.80x = 354,399.57 × 147,973.74
  4. Step 4: Simplify right side
    256,833.80x = 52,441,829,827.29
  5. Step 5: Solve for x
    x = 52,441,829,827.29/256,833.80
  6. Step 6: Final answer
    x = 204,185.86

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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.