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Finding the Fourth Proportional to 252,088.94, 347,878.26 and 137,368.58

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Solution

The fourth proportional to 252,088.94, 347,878.26 and 137,368.58 is: 189,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,088.94 : 347,878.26 = 137,368.58 : x
  2. Step 2: Convert to fraction form
    252,088.94/347,878.26 = 137,368.58/x
  3. Step 3: Cross multiply
    252,088.94x = 347,878.26 × 137,368.58
  4. Step 4: Simplify right side
    252,088.94x = 47,787,542,589.07
  5. Step 5: Solve for x
    x = 47,787,542,589.07/252,088.94
  6. Step 6: Final answer
    x = 189,566.20

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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.