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Finding the Fourth Proportional to 164,887.14, 227,659.50 and 145,619.40

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Solution

The fourth proportional to 164,887.14, 227,659.50 and 145,619.40 is: 201,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,887.14 : 227,659.50 = 145,619.40 : x
  2. Step 2: Convert to fraction form
    164,887.14/227,659.50 = 145,619.40/x
  3. Step 3: Cross multiply
    164,887.14x = 227,659.50 × 145,619.40
  4. Step 4: Simplify right side
    164,887.14x = 33,151,639,794.30
  5. Step 5: Solve for x
    x = 33,151,639,794.30/164,887.14
  6. Step 6: Final answer
    x = 201,056.55

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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.