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Finding the Fourth Proportional to 256,271.32, 384,139.50 and 87,742

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Solution

The fourth proportional to 256,271.32, 384,139.50 and 87,742 is: 131,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271.32 : 384,139.50 = 87,742 : x
  2. Step 2: Convert to fraction form
    256,271.32/384,139.50 = 87,742/x
  3. Step 3: Cross multiply
    256,271.32x = 384,139.50 × 87,742
  4. Step 4: Simplify right side
    256,271.32x = 33,705,168,009
  5. Step 5: Solve for x
    x = 33,705,168,009/256,271.32
  6. Step 6: Final answer
    x = 131,521.42

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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.