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Finding the Fourth Proportional to 164,083.50, 226,435.32 and 88,632

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Solution

The fourth proportional to 164,083.50, 226,435.32 and 88,632 is: 122,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,083.50 : 226,435.32 = 88,632 : x
  2. Step 2: Convert to fraction form
    164,083.50/226,435.32 = 88,632/x
  3. Step 3: Cross multiply
    164,083.50x = 226,435.32 × 88,632
  4. Step 4: Simplify right side
    164,083.50x = 20,069,415,282.24
  5. Step 5: Solve for x
    x = 20,069,415,282.24/164,083.50
  6. Step 6: Final answer
    x = 122,312.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.