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Finding the Fourth Proportional to 251,734.80, 377,657.76 and 83,307.60

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Solution

The fourth proportional to 251,734.80, 377,657.76 and 83,307.60 is: 124,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,734.80 : 377,657.76 = 83,307.60 : x
  2. Step 2: Convert to fraction form
    251,734.80/377,657.76 = 83,307.60/x
  3. Step 3: Cross multiply
    251,734.80x = 377,657.76 × 83,307.60
  4. Step 4: Simplify right side
    251,734.80x = 31,461,761,606.98
  5. Step 5: Solve for x
    x = 31,461,761,606.98/251,734.80
  6. Step 6: Final answer
    x = 124,979.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.