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Finding the Fourth Proportional to 164,411.64, 226,747.62 and 113,505.84

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Solution

The fourth proportional to 164,411.64, 226,747.62 and 113,505.84 is: 156,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,411.64 : 226,747.62 = 113,505.84 : x
  2. Step 2: Convert to fraction form
    164,411.64/226,747.62 = 113,505.84/x
  3. Step 3: Cross multiply
    164,411.64x = 226,747.62 × 113,505.84
  4. Step 4: Simplify right side
    164,411.64x = 25,737,179,076.10
  5. Step 5: Solve for x
    x = 25,737,179,076.10/164,411.64
  6. Step 6: Final answer
    x = 156,541.10

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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.