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Finding the Fourth Proportional to 149,573.86, 224,361.62 and 37,254.09

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Solution

The fourth proportional to 149,573.86, 224,361.62 and 37,254.09 is: 55,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,573.86 : 224,361.62 = 37,254.09 : x
  2. Step 2: Convert to fraction form
    149,573.86/224,361.62 = 37,254.09/x
  3. Step 3: Cross multiply
    149,573.86x = 224,361.62 × 37,254.09
  4. Step 4: Simplify right side
    149,573.86x = 8,358,387,726.33
  5. Step 5: Solve for x
    x = 8,358,387,726.33/149,573.86
  6. Step 6: Final answer
    x = 55,881.34

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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.