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Finding the Fourth Proportional to 259,204.89, 388,501.83 and 116,883.51

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Solution

The fourth proportional to 259,204.89, 388,501.83 and 116,883.51 is: 175,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,204.89 : 388,501.83 = 116,883.51 : x
  2. Step 2: Convert to fraction form
    259,204.89/388,501.83 = 116,883.51/x
  3. Step 3: Cross multiply
    259,204.89x = 388,501.83 × 116,883.51
  4. Step 4: Simplify right side
    259,204.89x = 45,409,457,531.82
  5. Step 5: Solve for x
    x = 45,409,457,531.82/259,204.89
  6. Step 6: Final answer
    x = 175,187.50

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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.