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Finding the Fourth Proportional to 272,058.52, 408,022.98 and 114,290.04

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Solution

The fourth proportional to 272,058.52, 408,022.98 and 114,290.04 is: 171,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,058.52 : 408,022.98 = 114,290.04 : x
  2. Step 2: Convert to fraction form
    272,058.52/408,022.98 = 114,290.04/x
  3. Step 3: Cross multiply
    272,058.52x = 408,022.98 × 114,290.04
  4. Step 4: Simplify right side
    272,058.52x = 46,632,962,705.12
  5. Step 5: Solve for x
    x = 46,632,962,705.12/272,058.52
  6. Step 6: Final answer
    x = 171,407.84

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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.