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Finding the Fourth Proportional to 243,824.81, 365,776.25 and 75,305.52

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Solution

The fourth proportional to 243,824.81, 365,776.25 and 75,305.52 is: 112,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,824.81 : 365,776.25 = 75,305.52 : x
  2. Step 2: Convert to fraction form
    243,824.81/365,776.25 = 75,305.52/x
  3. Step 3: Cross multiply
    243,824.81x = 365,776.25 × 75,305.52
  4. Step 4: Simplify right side
    243,824.81x = 27,544,970,333.37
  5. Step 5: Solve for x
    x = 27,544,970,333.37/243,824.81
  6. Step 6: Final answer
    x = 112,970.34

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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.