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Finding the Fourth Proportional to 241,897.42, 362,847.29 and 73,419.21

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Solution

The fourth proportional to 241,897.42, 362,847.29 and 73,419.21 is: 110,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,897.42 : 362,847.29 = 73,419.21 : x
  2. Step 2: Convert to fraction form
    241,897.42/362,847.29 = 73,419.21/x
  3. Step 3: Cross multiply
    241,897.42x = 362,847.29 × 73,419.21
  4. Step 4: Simplify right side
    241,897.42x = 26,639,961,015.34
  5. Step 5: Solve for x
    x = 26,639,961,015.34/241,897.42
  6. Step 6: Final answer
    x = 110,129.17

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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.