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Finding the Fourth Proportional to 164,708.60, 227,126.94 and 140,914.04

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Solution

The fourth proportional to 164,708.60, 227,126.94 and 140,914.04 is: 194,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,708.60 : 227,126.94 = 140,914.04 : x
  2. Step 2: Convert to fraction form
    164,708.60/227,126.94 = 140,914.04/x
  3. Step 3: Cross multiply
    164,708.60x = 227,126.94 × 140,914.04
  4. Step 4: Simplify right side
    164,708.60x = 32,005,374,708.24
  5. Step 5: Solve for x
    x = 32,005,374,708.24/164,708.60
  6. Step 6: Final answer
    x = 194,315.14

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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.