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Finding the Fourth Proportional to 252,884.34, 349,004.54 and 138,180.42

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Solution

The fourth proportional to 252,884.34, 349,004.54 and 138,180.42 is: 190,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,884.34 : 349,004.54 = 138,180.42 : x
  2. Step 2: Convert to fraction form
    252,884.34/349,004.54 = 138,180.42/x
  3. Step 3: Cross multiply
    252,884.34x = 349,004.54 × 138,180.42
  4. Step 4: Simplify right side
    252,884.34x = 48,225,593,919.11
  5. Step 5: Solve for x
    x = 48,225,593,919.11/252,884.34
  6. Step 6: Final answer
    x = 190,702.18

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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.