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Finding the Fourth Proportional to 283,702.24, 425,567.94 and 73,342

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Solution

The fourth proportional to 283,702.24, 425,567.94 and 73,342 is: 110,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,702.24 : 425,567.94 = 73,342 : x
  2. Step 2: Convert to fraction form
    283,702.24/425,567.94 = 73,342/x
  3. Step 3: Cross multiply
    283,702.24x = 425,567.94 × 73,342
  4. Step 4: Simplify right side
    283,702.24x = 31,212,003,855.48
  5. Step 5: Solve for x
    x = 31,212,003,855.48/283,702.24
  6. Step 6: Final answer
    x = 110,016.77

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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.