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Finding the Fourth Proportional to 501,213.30, 751,852.71 and 146,197.50

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Solution

The fourth proportional to 501,213.30, 751,852.71 and 146,197.50 is: 219,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,213.30 : 751,852.71 = 146,197.50 : x
  2. Step 2: Convert to fraction form
    501,213.30/751,852.71 = 146,197.50/x
  3. Step 3: Cross multiply
    501,213.30x = 751,852.71 × 146,197.50
  4. Step 4: Simplify right side
    501,213.30x = 109,918,986,570.23
  5. Step 5: Solve for x
    x = 109,918,986,570.23/501,213.30
  6. Step 6: Final answer
    x = 219,305.81

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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.