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Finding the Fourth Proportional to 273,134.16, 409,544.64 and 83,541.78

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Solution

The fourth proportional to 273,134.16, 409,544.64 and 83,541.78 is: 125,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,134.16 : 409,544.64 = 83,541.78 : x
  2. Step 2: Convert to fraction form
    273,134.16/409,544.64 = 83,541.78/x
  3. Step 3: Cross multiply
    273,134.16x = 409,544.64 × 83,541.78
  4. Step 4: Simplify right side
    273,134.16x = 34,214,088,215.06
  5. Step 5: Solve for x
    x = 34,214,088,215.06/273,134.16
  6. Step 6: Final answer
    x = 125,264.77

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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.