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Finding the Fourth Proportional to 252,435.70, 348,361.86 and 137,714.59

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Solution

The fourth proportional to 252,435.70, 348,361.86 and 137,714.59 is: 190,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,435.70 : 348,361.86 = 137,714.59 : x
  2. Step 2: Convert to fraction form
    252,435.70/348,361.86 = 137,714.59/x
  3. Step 3: Cross multiply
    252,435.70x = 348,361.86 × 137,714.59
  4. Step 4: Simplify right side
    252,435.70x = 47,974,510,721.54
  5. Step 5: Solve for x
    x = 47,974,510,721.54/252,435.70
  6. Step 6: Final answer
    x = 190,046.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.