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Finding the Fourth Proportional to 204,868.64, 308,390.24 and 146,110.88

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Solution

The fourth proportional to 204,868.64, 308,390.24 and 146,110.88 is: 219,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,868.64 : 308,390.24 = 146,110.88 : x
  2. Step 2: Convert to fraction form
    204,868.64/308,390.24 = 146,110.88/x
  3. Step 3: Cross multiply
    204,868.64x = 308,390.24 × 146,110.88
  4. Step 4: Simplify right side
    204,868.64x = 45,059,169,349.81
  5. Step 5: Solve for x
    x = 45,059,169,349.81/204,868.64
  6. Step 6: Final answer
    x = 219,941.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.