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Finding the Fourth Proportional to 251,059.50, 346,464.54 and 137,884.68

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Solution

The fourth proportional to 251,059.50, 346,464.54 and 137,884.68 is: 190,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,059.50 : 346,464.54 = 137,884.68 : x
  2. Step 2: Convert to fraction form
    251,059.50/346,464.54 = 137,884.68/x
  3. Step 3: Cross multiply
    251,059.50x = 346,464.54 × 137,884.68
  4. Step 4: Simplify right side
    251,059.50x = 47,772,152,229.25
  5. Step 5: Solve for x
    x = 47,772,152,229.25/251,059.50
  6. Step 6: Final answer
    x = 190,282.19

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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.