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Finding the Fourth Proportional to 251,505.68, 377,178.53 and 82,994.58

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Solution

The fourth proportional to 251,505.68, 377,178.53 and 82,994.58 is: 124,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,505.68 : 377,178.53 = 82,994.58 : x
  2. Step 2: Convert to fraction form
    251,505.68/377,178.53 = 82,994.58/x
  3. Step 3: Cross multiply
    251,505.68x = 377,178.53 × 82,994.58
  4. Step 4: Simplify right side
    251,505.68x = 31,303,773,267.39
  5. Step 5: Solve for x
    x = 31,303,773,267.39/251,505.68
  6. Step 6: Final answer
    x = 124,465.47

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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.