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Finding the Fourth Proportional to 252,118.64, 347,923.80 and 137,397.33

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Solution

The fourth proportional to 252,118.64, 347,923.80 and 137,397.33 is: 189,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,118.64 : 347,923.80 = 137,397.33 : x
  2. Step 2: Convert to fraction form
    252,118.64/347,923.80 = 137,397.33/x
  3. Step 3: Cross multiply
    252,118.64x = 347,923.80 × 137,397.33
  4. Step 4: Simplify right side
    252,118.64x = 47,803,800,476.47
  5. Step 5: Solve for x
    x = 47,803,800,476.47/252,118.64
  6. Step 6: Final answer
    x = 189,608.35

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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.