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Finding the Fourth Proportional to 283,506.57, 425,268.05 and 73,144.50

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Solution

The fourth proportional to 283,506.57, 425,268.05 and 73,144.50 is: 109,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,506.57 : 425,268.05 = 73,144.50 : x
  2. Step 2: Convert to fraction form
    283,506.57/425,268.05 = 73,144.50/x
  3. Step 3: Cross multiply
    283,506.57x = 425,268.05 × 73,144.50
  4. Step 4: Simplify right side
    283,506.57x = 31,106,018,883.23
  5. Step 5: Solve for x
    x = 31,106,018,883.23/283,506.57
  6. Step 6: Final answer
    x = 109,718.86

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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.