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Finding the Fourth Proportional to 164,043, 226,314.54 and 103,591.08

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Solution

The fourth proportional to 164,043, 226,314.54 and 103,591.08 is: 142,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043 : 226,314.54 = 103,591.08 : x
  2. Step 2: Convert to fraction form
    164,043/226,314.54 = 103,591.08/x
  3. Step 3: Cross multiply
    164,043x = 226,314.54 × 103,591.08
  4. Step 4: Simplify right side
    164,043x = 23,444,167,618.30
  5. Step 5: Solve for x
    x = 23,444,167,618.30/164,043
  6. Step 6: Final answer
    x = 142,914.77

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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.