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Finding the Fourth Proportional to 273,076.38, 409,661.48 and 83,532.20

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Solution

The fourth proportional to 273,076.38, 409,661.48 and 83,532.20 is: 125,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,076.38 : 409,661.48 = 83,532.20 : x
  2. Step 2: Convert to fraction form
    273,076.38/409,661.48 = 83,532.20/x
  3. Step 3: Cross multiply
    273,076.38x = 409,661.48 × 83,532.20
  4. Step 4: Simplify right side
    273,076.38x = 34,219,922,840.18
  5. Step 5: Solve for x
    x = 34,219,922,840.18/273,076.38
  6. Step 6: Final answer
    x = 125,312.64

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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.