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Finding the Fourth Proportional to 501,123.26, 751,810.32 and 146,137.32

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Solution

The fourth proportional to 501,123.26, 751,810.32 and 146,137.32 is: 219,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,123.26 : 751,810.32 = 146,137.32 : x
  2. Step 2: Convert to fraction form
    501,123.26/751,810.32 = 146,137.32/x
  3. Step 3: Cross multiply
    501,123.26x = 751,810.32 × 146,137.32
  4. Step 4: Simplify right side
    501,123.26x = 109,867,545,313.14
  5. Step 5: Solve for x
    x = 109,867,545,313.14/501,123.26
  6. Step 6: Final answer
    x = 219,242.56

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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.