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Finding the Fourth Proportional to 283,672.51, 425,571.84 and 123,774.36

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Solution

The fourth proportional to 283,672.51, 425,571.84 and 123,774.36 is: 185,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,672.51 : 425,571.84 = 123,774.36 : x
  2. Step 2: Convert to fraction form
    283,672.51/425,571.84 = 123,774.36/x
  3. Step 3: Cross multiply
    283,672.51x = 425,571.84 × 123,774.36
  4. Step 4: Simplify right side
    283,672.51x = 52,674,882,130.02
  5. Step 5: Solve for x
    x = 52,674,882,130.02/283,672.51
  6. Step 6: Final answer
    x = 185,689.06

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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.