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Finding the Fourth Proportional to 243,201.44, 364,644.24 and 101,007.68

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Solution

The fourth proportional to 243,201.44, 364,644.24 and 101,007.68 is: 151,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,201.44 : 364,644.24 = 101,007.68 : x
  2. Step 2: Convert to fraction form
    243,201.44/364,644.24 = 101,007.68/x
  3. Step 3: Cross multiply
    243,201.44x = 364,644.24 × 101,007.68
  4. Step 4: Simplify right side
    243,201.44x = 36,831,868,707.76
  5. Step 5: Solve for x
    x = 36,831,868,707.76/243,201.44
  6. Step 6: Final answer
    x = 151,445.93

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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.