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Finding the Fourth Proportional to 251,461.58, 347,017.08 and 138,284.30

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Solution

The fourth proportional to 251,461.58, 347,017.08 and 138,284.30 is: 190,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,461.58 : 347,017.08 = 138,284.30 : x
  2. Step 2: Convert to fraction form
    251,461.58/347,017.08 = 138,284.30/x
  3. Step 3: Cross multiply
    251,461.58x = 347,017.08 × 138,284.30
  4. Step 4: Simplify right side
    251,461.58x = 47,987,013,995.84
  5. Step 5: Solve for x
    x = 47,987,013,995.84/251,461.58
  6. Step 6: Final answer
    x = 190,832.39

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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.