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Finding the Fourth Proportional to 501,135.50, 751,813.83 and 146,177.30

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Solution

The fourth proportional to 501,135.50, 751,813.83 and 146,177.30 is: 219,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,135.50 : 751,813.83 = 146,177.30 : x
  2. Step 2: Convert to fraction form
    501,135.50/751,813.83 = 146,177.30/x
  3. Step 3: Cross multiply
    501,135.50x = 751,813.83 × 146,177.30
  4. Step 4: Simplify right side
    501,135.50x = 109,898,112,012.99
  5. Step 5: Solve for x
    x = 109,898,112,012.99/501,135.50
  6. Step 6: Final answer
    x = 219,298.20

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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.