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Finding the Fourth Proportional to 256,408.68, 353,787.15 and 147,506.33

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Solution

The fourth proportional to 256,408.68, 353,787.15 and 147,506.33 is: 203,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,408.68 : 353,787.15 = 147,506.33 : x
  2. Step 2: Convert to fraction form
    256,408.68/353,787.15 = 147,506.33/x
  3. Step 3: Cross multiply
    256,408.68x = 353,787.15 × 147,506.33
  4. Step 4: Simplify right side
    256,408.68x = 52,185,844,097.66
  5. Step 5: Solve for x
    x = 52,185,844,097.66/256,408.68
  6. Step 6: Final answer
    x = 203,526.04

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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.