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Finding the Fourth Proportional to 266,141.76, 367,349.76 and 153,000.96

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Solution

The fourth proportional to 266,141.76, 367,349.76 and 153,000.96 is: 211,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,141.76 : 367,349.76 = 153,000.96 : x
  2. Step 2: Convert to fraction form
    266,141.76/367,349.76 = 153,000.96/x
  3. Step 3: Cross multiply
    266,141.76x = 367,349.76 × 153,000.96
  4. Step 4: Simplify right side
    266,141.76x = 56,204,865,935.77
  5. Step 5: Solve for x
    x = 56,204,865,935.77/266,141.76
  6. Step 6: Final answer
    x = 211,183.94

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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.