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Finding the Fourth Proportional to 283,152.51, 424,876.23 and 114,797.25

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Solution

The fourth proportional to 283,152.51, 424,876.23 and 114,797.25 is: 172,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,152.51 : 424,876.23 = 114,797.25 : x
  2. Step 2: Convert to fraction form
    283,152.51/424,876.23 = 114,797.25/x
  3. Step 3: Cross multiply
    283,152.51x = 424,876.23 × 114,797.25
  4. Step 4: Simplify right side
    283,152.51x = 48,774,622,794.37
  5. Step 5: Solve for x
    x = 48,774,622,794.37/283,152.51
  6. Step 6: Final answer
    x = 172,255.66

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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.