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Finding the Fourth Proportional to 214,996.76, 296,647.34 and 130,112

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Solution

The fourth proportional to 214,996.76, 296,647.34 and 130,112 is: 179,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,996.76 : 296,647.34 = 130,112 : x
  2. Step 2: Convert to fraction form
    214,996.76/296,647.34 = 130,112/x
  3. Step 3: Cross multiply
    214,996.76x = 296,647.34 × 130,112
  4. Step 4: Simplify right side
    214,996.76x = 38,597,378,702.08
  5. Step 5: Solve for x
    x = 38,597,378,702.08/214,996.76
  6. Step 6: Final answer
    x = 179,525.40

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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.