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Finding the Fourth Proportional to 252,029.64, 347,799.86 and 137,307.94

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Solution

The fourth proportional to 252,029.64, 347,799.86 and 137,307.94 is: 189,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,029.64 : 347,799.86 = 137,307.94 : x
  2. Step 2: Convert to fraction form
    252,029.64/347,799.86 = 137,307.94/x
  3. Step 3: Cross multiply
    252,029.64x = 347,799.86 × 137,307.94
  4. Step 4: Simplify right side
    252,029.64x = 47,755,681,267.75
  5. Step 5: Solve for x
    x = 47,755,681,267.75/252,029.64
  6. Step 6: Final answer
    x = 189,484.38

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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.