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Finding the Fourth Proportional to 256,250.42, 384,412.37 and 78,772.32

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Solution

The fourth proportional to 256,250.42, 384,412.37 and 78,772.32 is: 118,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250.42 : 384,412.37 = 78,772.32 : x
  2. Step 2: Convert to fraction form
    256,250.42/384,412.37 = 78,772.32/x
  3. Step 3: Cross multiply
    256,250.42x = 384,412.37 × 78,772.32
  4. Step 4: Simplify right side
    256,250.42x = 30,281,053,827.74
  5. Step 5: Solve for x
    x = 30,281,053,827.74/256,250.42
  6. Step 6: Final answer
    x = 118,169.77

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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.