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Finding the Fourth Proportional to 258,570.48, 356,795.16 and 149,693.36

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Solution

The fourth proportional to 258,570.48, 356,795.16 and 149,693.36 is: 206,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,570.48 : 356,795.16 = 149,693.36 : x
  2. Step 2: Convert to fraction form
    258,570.48/356,795.16 = 149,693.36/x
  3. Step 3: Cross multiply
    258,570.48x = 356,795.16 × 149,693.36
  4. Step 4: Simplify right side
    258,570.48x = 53,409,866,332.14
  5. Step 5: Solve for x
    x = 53,409,866,332.14/258,570.48
  6. Step 6: Final answer
    x = 206,558.25

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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.