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Finding the Fourth Proportional to 273,963.32, 378,021.24 and 153,065.96

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Solution

The fourth proportional to 273,963.32, 378,021.24 and 153,065.96 is: 211,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,963.32 : 378,021.24 = 153,065.96 : x
  2. Step 2: Convert to fraction form
    273,963.32/378,021.24 = 153,065.96/x
  3. Step 3: Cross multiply
    273,963.32x = 378,021.24 × 153,065.96
  4. Step 4: Simplify right side
    273,963.32x = 57,862,184,000.99
  5. Step 5: Solve for x
    x = 57,862,184,000.99/273,963.32
  6. Step 6: Final answer
    x = 211,204.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.