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Finding the Fourth Proportional to 277,227.87, 415,830.21 and 151,663.65

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Solution

The fourth proportional to 277,227.87, 415,830.21 and 151,663.65 is: 227,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,227.87 : 415,830.21 = 151,663.65 : x
  2. Step 2: Convert to fraction form
    277,227.87/415,830.21 = 151,663.65/x
  3. Step 3: Cross multiply
    277,227.87x = 415,830.21 × 151,663.65
  4. Step 4: Simplify right side
    277,227.87x = 63,066,327,428.87
  5. Step 5: Solve for x
    x = 63,066,327,428.87/277,227.87
  6. Step 6: Final answer
    x = 227,489.13

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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.