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Finding the Fourth Proportional to 256,189.84, 384,283.92 and 69,201.40

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Solution

The fourth proportional to 256,189.84, 384,283.92 and 69,201.40 is: 103,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,189.84 : 384,283.92 = 69,201.40 : x
  2. Step 2: Convert to fraction form
    256,189.84/384,283.92 = 69,201.40/x
  3. Step 3: Cross multiply
    256,189.84x = 384,283.92 × 69,201.40
  4. Step 4: Simplify right side
    256,189.84x = 26,592,985,261.49
  5. Step 5: Solve for x
    x = 26,592,985,261.49/256,189.84
  6. Step 6: Final answer
    x = 103,801.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.