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Finding the Fourth Proportional to 273,956.05, 410,966.88 and 116,164

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Solution

The fourth proportional to 273,956.05, 410,966.88 and 116,164 is: 174,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,956.05 : 410,966.88 = 116,164 : x
  2. Step 2: Convert to fraction form
    273,956.05/410,966.88 = 116,164/x
  3. Step 3: Cross multiply
    273,956.05x = 410,966.88 × 116,164
  4. Step 4: Simplify right side
    273,956.05x = 47,739,556,648.32
  5. Step 5: Solve for x
    x = 47,739,556,648.32/273,956.05
  6. Step 6: Final answer
    x = 174,259.91

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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.