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Finding the Fourth Proportional to 283,687.51, 425,628.47 and 96,830.23

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Solution

The fourth proportional to 283,687.51, 425,628.47 and 96,830.23 is: 145,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,687.51 : 425,628.47 = 96,830.23 : x
  2. Step 2: Convert to fraction form
    283,687.51/425,628.47 = 96,830.23/x
  3. Step 3: Cross multiply
    283,687.51x = 425,628.47 × 96,830.23
  4. Step 4: Simplify right side
    283,687.51x = 41,213,702,644.65
  5. Step 5: Solve for x
    x = 41,213,702,644.65/283,687.51
  6. Step 6: Final answer
    x = 145,278.52

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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.