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Finding the Fourth Proportional to 229,549.60, 316,687.74 and 132,735.64

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Solution

The fourth proportional to 229,549.60, 316,687.74 and 132,735.64 is: 183,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,549.60 : 316,687.74 = 132,735.64 : x
  2. Step 2: Convert to fraction form
    229,549.60/316,687.74 = 132,735.64/x
  3. Step 3: Cross multiply
    229,549.60x = 316,687.74 × 132,735.64
  4. Step 4: Simplify right side
    229,549.60x = 42,035,749,849.05
  5. Step 5: Solve for x
    x = 42,035,749,849.05/229,549.60
  6. Step 6: Final answer
    x = 183,122.73

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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.