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Finding the Fourth Proportional to 164,410.46, 226,886.76 and 91,813

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Solution

The fourth proportional to 164,410.46, 226,886.76 and 91,813 is: 126,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,410.46 : 226,886.76 = 91,813 : x
  2. Step 2: Convert to fraction form
    164,410.46/226,886.76 = 91,813/x
  3. Step 3: Cross multiply
    164,410.46x = 226,886.76 × 91,813
  4. Step 4: Simplify right side
    164,410.46x = 20,831,154,095.88
  5. Step 5: Solve for x
    x = 20,831,154,095.88/164,410.46
  6. Step 6: Final answer
    x = 126,702.12

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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.