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Finding the Fourth Proportional to 501,142.74, 751,674.89 and 141,299.06

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Solution

The fourth proportional to 501,142.74, 751,674.89 and 141,299.06 is: 211,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,142.74 : 751,674.89 = 141,299.06 : x
  2. Step 2: Convert to fraction form
    501,142.74/751,674.89 = 141,299.06/x
  3. Step 3: Cross multiply
    501,142.74x = 751,674.89 × 141,299.06
  4. Step 4: Simplify right side
    501,142.74x = 106,210,957,362.04
  5. Step 5: Solve for x
    x = 106,210,957,362.04/501,142.74
  6. Step 6: Final answer
    x = 211,937.53

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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.