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Finding the Fourth Proportional to 273,169.03, 409,814.43 and 83,656.03

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Solution

The fourth proportional to 273,169.03, 409,814.43 and 83,656.03 is: 125,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,169.03 : 409,814.43 = 83,656.03 : x
  2. Step 2: Convert to fraction form
    273,169.03/409,814.43 = 83,656.03/x
  3. Step 3: Cross multiply
    273,169.03x = 409,814.43 × 83,656.03
  4. Step 4: Simplify right side
    273,169.03x = 34,283,448,250.51
  5. Step 5: Solve for x
    x = 34,283,448,250.51/273,169.03
  6. Step 6: Final answer
    x = 125,502.69

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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.