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Finding the Fourth Proportional to 501,133.88, 751,811.38 and 146,175.68

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Solution

The fourth proportional to 501,133.88, 751,811.38 and 146,175.68 is: 219,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,133.88 : 751,811.38 = 146,175.68 : x
  2. Step 2: Convert to fraction form
    501,133.88/751,811.38 = 146,175.68/x
  3. Step 3: Cross multiply
    501,133.88x = 751,811.38 × 146,175.68
  4. Step 4: Simplify right side
    501,133.88x = 109,896,539,703.24
  5. Step 5: Solve for x
    x = 109,896,539,703.24/501,133.88
  6. Step 6: Final answer
    x = 219,295.77

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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.