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Finding the Fourth Proportional to 146,507.16, 219,161.23 and 110,702.33

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Solution

The fourth proportional to 146,507.16, 219,161.23 and 110,702.33 is: 165,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,507.16 : 219,161.23 = 110,702.33 : x
  2. Step 2: Convert to fraction form
    146,507.16/219,161.23 = 110,702.33/x
  3. Step 3: Cross multiply
    146,507.16x = 219,161.23 × 110,702.33
  4. Step 4: Simplify right side
    146,507.16x = 24,261,658,806.67
  5. Step 5: Solve for x
    x = 24,261,658,806.67/146,507.16
  6. Step 6: Final answer
    x = 165,600.50

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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.