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Finding the Fourth Proportional to 240,536.25, 360,796.92 and 114,267.36

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Solution

The fourth proportional to 240,536.25, 360,796.92 and 114,267.36 is: 171,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,536.25 : 360,796.92 = 114,267.36 : x
  2. Step 2: Convert to fraction form
    240,536.25/360,796.92 = 114,267.36/x
  3. Step 3: Cross multiply
    240,536.25x = 360,796.92 × 114,267.36
  4. Step 4: Simplify right side
    240,536.25x = 41,227,311,544.53
  5. Step 5: Solve for x
    x = 41,227,311,544.53/240,536.25
  6. Step 6: Final answer
    x = 171,397.50

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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.