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Finding the Fourth Proportional to 251,710.96, 377,476.53 and 83,200.18

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Solution

The fourth proportional to 251,710.96, 377,476.53 and 83,200.18 is: 124,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,710.96 : 377,476.53 = 83,200.18 : x
  2. Step 2: Convert to fraction form
    251,710.96/377,476.53 = 83,200.18/x
  3. Step 3: Cross multiply
    251,710.96x = 377,476.53 × 83,200.18
  4. Step 4: Simplify right side
    251,710.96x = 31,406,115,241.78
  5. Step 5: Solve for x
    x = 31,406,115,241.78/251,710.96
  6. Step 6: Final answer
    x = 124,770.55

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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.