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Finding the Fourth Proportional to 259,193.84, 357,826.25 and 181,907.30

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Solution

The fourth proportional to 259,193.84, 357,826.25 and 181,907.30 is: 251,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,193.84 : 357,826.25 = 181,907.30 : x
  2. Step 2: Convert to fraction form
    259,193.84/357,826.25 = 181,907.30/x
  3. Step 3: Cross multiply
    259,193.84x = 357,826.25 × 181,907.30
  4. Step 4: Simplify right side
    259,193.84x = 65,091,208,355.96
  5. Step 5: Solve for x
    x = 65,091,208,355.96/259,193.84
  6. Step 6: Final answer
    x = 251,129.46

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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.