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Finding the Fourth Proportional to 243,419.14, 365,163.54 and 74,953.72

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Solution

The fourth proportional to 243,419.14, 365,163.54 and 74,953.72 is: 112,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,419.14 : 365,163.54 = 74,953.72 : x
  2. Step 2: Convert to fraction form
    243,419.14/365,163.54 = 74,953.72/x
  3. Step 3: Cross multiply
    243,419.14x = 365,163.54 × 74,953.72
  4. Step 4: Simplify right side
    243,419.14x = 27,370,365,731.37
  5. Step 5: Solve for x
    x = 27,370,365,731.37/243,419.14
  6. Step 6: Final answer
    x = 112,441.30

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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.