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Finding the Fourth Proportional to 273,116, 409,674.24 and 76,124

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Solution

The fourth proportional to 273,116, 409,674.24 and 76,124 is: 114,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,116 : 409,674.24 = 76,124 : x
  2. Step 2: Convert to fraction form
    273,116/409,674.24 = 76,124/x
  3. Step 3: Cross multiply
    273,116x = 409,674.24 × 76,124
  4. Step 4: Simplify right side
    273,116x = 31,186,041,845.76
  5. Step 5: Solve for x
    x = 31,186,041,845.76/273,116
  6. Step 6: Final answer
    x = 114,186.07

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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.