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Finding the Fourth Proportional to 242,435.82, 363,708.81 and 73,971.21

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Solution

The fourth proportional to 242,435.82, 363,708.81 and 73,971.21 is: 110,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,435.82 : 363,708.81 = 73,971.21 : x
  2. Step 2: Convert to fraction form
    242,435.82/363,708.81 = 73,971.21/x
  3. Step 3: Cross multiply
    242,435.82x = 363,708.81 × 73,971.21
  4. Step 4: Simplify right side
    242,435.82x = 26,903,980,763.36
  5. Step 5: Solve for x
    x = 26,903,980,763.36/242,435.82
  6. Step 6: Final answer
    x = 110,973.62

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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.