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Finding the Fourth Proportional to 199,308.69, 275,058.24 and 114,438.51

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Solution

The fourth proportional to 199,308.69, 275,058.24 and 114,438.51 is: 157,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,308.69 : 275,058.24 = 114,438.51 : x
  2. Step 2: Convert to fraction form
    199,308.69/275,058.24 = 114,438.51/x
  3. Step 3: Cross multiply
    199,308.69x = 275,058.24 × 114,438.51
  4. Step 4: Simplify right side
    199,308.69x = 31,477,255,148.82
  5. Step 5: Solve for x
    x = 31,477,255,148.82/199,308.69
  6. Step 6: Final answer
    x = 157,932.18

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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.