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Finding the Fourth Proportional to 501,083.31, 751,544.93 and 146,014.45

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Solution

The fourth proportional to 501,083.31, 751,544.93 and 146,014.45 is: 218,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,083.31 : 751,544.93 = 146,014.45 : x
  2. Step 2: Convert to fraction form
    501,083.31/751,544.93 = 146,014.45/x
  3. Step 3: Cross multiply
    501,083.31x = 751,544.93 × 146,014.45
  4. Step 4: Simplify right side
    501,083.31x = 109,736,418,090.41
  5. Step 5: Solve for x
    x = 109,736,418,090.41/501,083.31
  6. Step 6: Final answer
    x = 218,998.35

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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.