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Finding the Fourth Proportional to 507,391.66, 761,027.01 and 133,443.82

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Solution

The fourth proportional to 507,391.66, 761,027.01 and 133,443.82 is: 200,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,391.66 : 761,027.01 = 133,443.82 : x
  2. Step 2: Convert to fraction form
    507,391.66/761,027.01 = 133,443.82/x
  3. Step 3: Cross multiply
    507,391.66x = 761,027.01 × 133,443.82
  4. Step 4: Simplify right side
    507,391.66x = 101,554,351,337.58
  5. Step 5: Solve for x
    x = 101,554,351,337.58/507,391.66
  6. Step 6: Final answer
    x = 200,149.82

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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.