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Finding the Fourth Proportional to 256,188.84, 384,282.42 and 69,200.40

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Solution

The fourth proportional to 256,188.84, 384,282.42 and 69,200.40 is: 103,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,188.84 : 384,282.42 = 69,200.40 : x
  2. Step 2: Convert to fraction form
    256,188.84/384,282.42 = 69,200.40/x
  3. Step 3: Cross multiply
    256,188.84x = 384,282.42 × 69,200.40
  4. Step 4: Simplify right side
    256,188.84x = 26,592,497,176.97
  5. Step 5: Solve for x
    x = 26,592,497,176.97/256,188.84
  6. Step 6: Final answer
    x = 103,800.37

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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.