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Finding the Fourth Proportional to 258,026.54, 356,074.16 and 144,848.48

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Solution

The fourth proportional to 258,026.54, 356,074.16 and 144,848.48 is: 199,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,026.54 : 356,074.16 = 144,848.48 : x
  2. Step 2: Convert to fraction form
    258,026.54/356,074.16 = 144,848.48/x
  3. Step 3: Cross multiply
    258,026.54x = 356,074.16 × 144,848.48
  4. Step 4: Simplify right side
    258,026.54x = 51,576,802,095.58
  5. Step 5: Solve for x
    x = 51,576,802,095.58/258,026.54
  6. Step 6: Final answer
    x = 199,889.52

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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.