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Finding the Fourth Proportional to 273,186.92, 409,546.64 and 104,828.06

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Solution

The fourth proportional to 273,186.92, 409,546.64 and 104,828.06 is: 157,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,186.92 : 409,546.64 = 104,828.06 : x
  2. Step 2: Convert to fraction form
    273,186.92/409,546.64 = 104,828.06/x
  3. Step 3: Cross multiply
    273,186.92x = 409,546.64 × 104,828.06
  4. Step 4: Simplify right side
    273,186.92x = 42,931,977,178.84
  5. Step 5: Solve for x
    x = 42,931,977,178.84/273,186.92
  6. Step 6: Final answer
    x = 157,152.39

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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.