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Finding the Fourth Proportional to 213,624, 294,796.26 and 118,131.48

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Solution

The fourth proportional to 213,624, 294,796.26 and 118,131.48 is: 163,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624 : 294,796.26 = 118,131.48 : x
  2. Step 2: Convert to fraction form
    213,624/294,796.26 = 118,131.48/x
  3. Step 3: Cross multiply
    213,624x = 294,796.26 × 118,131.48
  4. Step 4: Simplify right side
    213,624x = 34,824,718,492.26
  5. Step 5: Solve for x
    x = 34,824,718,492.26/213,624
  6. Step 6: Final answer
    x = 163,018.75

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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.