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Finding the Fourth Proportional to 164,084.50, 226,436.70 and 88,633

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Solution

The fourth proportional to 164,084.50, 226,436.70 and 88,633 is: 122,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,084.50 : 226,436.70 = 88,633 : x
  2. Step 2: Convert to fraction form
    164,084.50/226,436.70 = 88,633/x
  3. Step 3: Cross multiply
    164,084.50x = 226,436.70 × 88,633
  4. Step 4: Simplify right side
    164,084.50x = 20,069,764,031.10
  5. Step 5: Solve for x
    x = 20,069,764,031.10/164,084.50
  6. Step 6: Final answer
    x = 122,313.59

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