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Finding the Fourth Proportional to 164,085, 226,437.42 and 88,633.50

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Solution

The fourth proportional to 164,085, 226,437.42 and 88,633.50 is: 122,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,085 : 226,437.42 = 88,633.50 : x
  2. Step 2: Convert to fraction form
    164,085/226,437.42 = 88,633.50/x
  3. Step 3: Cross multiply
    164,085x = 226,437.42 × 88,633.50
  4. Step 4: Simplify right side
    164,085x = 20,069,941,065.57
  5. Step 5: Solve for x
    x = 20,069,941,065.57/164,085
  6. Step 6: Final answer
    x = 122,314.29

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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.