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Finding the Fourth Proportional to 266,076.63, 398,903.02 and 153,629.30

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Solution

The fourth proportional to 266,076.63, 398,903.02 and 153,629.30 is: 230,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,076.63 : 398,903.02 = 153,629.30 : x
  2. Step 2: Convert to fraction form
    266,076.63/398,903.02 = 153,629.30/x
  3. Step 3: Cross multiply
    266,076.63x = 398,903.02 × 153,629.30
  4. Step 4: Simplify right side
    266,076.63x = 61,283,192,343.67
  5. Step 5: Solve for x
    x = 61,283,192,343.67/266,076.63
  6. Step 6: Final answer
    x = 230,321.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.