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Finding the Fourth Proportional to 305,115.80, 457,673.70 and 83,499.80

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Solution

The fourth proportional to 305,115.80, 457,673.70 and 83,499.80 is: 125,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,115.80 : 457,673.70 = 83,499.80 : x
  2. Step 2: Convert to fraction form
    305,115.80/457,673.70 = 83,499.80/x
  3. Step 3: Cross multiply
    305,115.80x = 457,673.70 × 83,499.80
  4. Step 4: Simplify right side
    305,115.80x = 38,215,662,415.26
  5. Step 5: Solve for x
    x = 38,215,662,415.26/305,115.80
  6. Step 6: Final answer
    x = 125,249.70

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