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Finding the Fourth Proportional to 164,244.64, 226,693.88 and 106,783.96

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Solution

The fourth proportional to 164,244.64, 226,693.88 and 106,783.96 is: 147,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,244.64 : 226,693.88 = 106,783.96 : x
  2. Step 2: Convert to fraction form
    164,244.64/226,693.88 = 106,783.96/x
  3. Step 3: Cross multiply
    164,244.64x = 226,693.88 × 106,783.96
  4. Step 4: Simplify right side
    164,244.64x = 24,207,270,214.16
  5. Step 5: Solve for x
    x = 24,207,270,214.16/164,244.64
  6. Step 6: Final answer
    x = 147,385.45

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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.