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Finding the Fourth Proportional to 501,212.30, 751,851.21 and 146,196.50

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Solution

The fourth proportional to 501,212.30, 751,851.21 and 146,196.50 is: 219,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,212.30 : 751,851.21 = 146,196.50 : x
  2. Step 2: Convert to fraction form
    501,212.30/751,851.21 = 146,196.50/x
  3. Step 3: Cross multiply
    501,212.30x = 751,851.21 × 146,196.50
  4. Step 4: Simplify right side
    501,212.30x = 109,918,015,422.77
  5. Step 5: Solve for x
    x = 109,918,015,422.77/501,212.30
  6. Step 6: Final answer
    x = 219,304.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.