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Finding the Fourth Proportional to 164,261.50, 226,681.20 and 88,810

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Solution

The fourth proportional to 164,261.50, 226,681.20 and 88,810 is: 122,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261.50 : 226,681.20 = 88,810 : x
  2. Step 2: Convert to fraction form
    164,261.50/226,681.20 = 88,810/x
  3. Step 3: Cross multiply
    164,261.50x = 226,681.20 × 88,810
  4. Step 4: Simplify right side
    164,261.50x = 20,131,557,372
  5. Step 5: Solve for x
    x = 20,131,557,372/164,261.50
  6. Step 6: Final answer
    x = 122,557.98

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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.