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Finding the Fourth Proportional to 153,860.53, 230,789.76 and 82,816.65

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Solution

The fourth proportional to 153,860.53, 230,789.76 and 82,816.65 is: 124,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,860.53 : 230,789.76 = 82,816.65 : x
  2. Step 2: Convert to fraction form
    153,860.53/230,789.76 = 82,816.65/x
  3. Step 3: Cross multiply
    153,860.53x = 230,789.76 × 82,816.65
  4. Step 4: Simplify right side
    153,860.53x = 19,113,234,777.50
  5. Step 5: Solve for x
    x = 19,113,234,777.50/153,860.53
  6. Step 6: Final answer
    x = 124,224.42

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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.