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Finding the Fourth Proportional to 164,323.26, 226,766.25 and 88,871.76

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Solution

The fourth proportional to 164,323.26, 226,766.25 and 88,871.76 is: 122,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,323.26 : 226,766.25 = 88,871.76 : x
  2. Step 2: Convert to fraction form
    164,323.26/226,766.25 = 88,871.76/x
  3. Step 3: Cross multiply
    164,323.26x = 226,766.25 × 88,871.76
  4. Step 4: Simplify right side
    164,323.26x = 20,153,115,746.10
  5. Step 5: Solve for x
    x = 20,153,115,746.10/164,323.26
  6. Step 6: Final answer
    x = 122,643.11

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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.