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Finding the Fourth Proportional to 243,550.26, 365,361.75 and 75,056.58

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Solution

The fourth proportional to 243,550.26, 365,361.75 and 75,056.58 is: 112,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,550.26 : 365,361.75 = 75,056.58 : x
  2. Step 2: Convert to fraction form
    243,550.26/365,361.75 = 75,056.58/x
  3. Step 3: Cross multiply
    243,550.26x = 365,361.75 × 75,056.58
  4. Step 4: Simplify right side
    243,550.26x = 27,422,803,417.82
  5. Step 5: Solve for x
    x = 27,422,803,417.82/243,550.26
  6. Step 6: Final answer
    x = 112,596.08

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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.