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Finding the Fourth Proportional to 252,043.59, 347,810.04 and 137,323.16

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Solution

The fourth proportional to 252,043.59, 347,810.04 and 137,323.16 is: 189,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,043.59 : 347,810.04 = 137,323.16 : x
  2. Step 2: Convert to fraction form
    252,043.59/347,810.04 = 137,323.16/x
  3. Step 3: Cross multiply
    252,043.59x = 347,810.04 × 137,323.16
  4. Step 4: Simplify right side
    252,043.59x = 47,762,372,033.48
  5. Step 5: Solve for x
    x = 47,762,372,033.48/252,043.59
  6. Step 6: Final answer
    x = 189,500.44

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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.