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Finding the Fourth Proportional to 252,098.58, 347,889.09 and 137,374.74

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Solution

The fourth proportional to 252,098.58, 347,889.09 and 137,374.74 is: 189,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,098.58 : 347,889.09 = 137,374.74 : x
  2. Step 2: Convert to fraction form
    252,098.58/347,889.09 = 137,374.74/x
  3. Step 3: Cross multiply
    252,098.58x = 347,889.09 × 137,374.74
  4. Step 4: Simplify right side
    252,098.58x = 47,791,173,287.59
  5. Step 5: Solve for x
    x = 47,791,173,287.59/252,098.58
  6. Step 6: Final answer
    x = 189,573.35

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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.