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Finding the Fourth Proportional to 214,970.33, 322,501.35 and 72,810.62

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Solution

The fourth proportional to 214,970.33, 322,501.35 and 72,810.62 is: 109,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.33 : 322,501.35 = 72,810.62 : x
  2. Step 2: Convert to fraction form
    214,970.33/322,501.35 = 72,810.62/x
  3. Step 3: Cross multiply
    214,970.33x = 322,501.35 × 72,810.62
  4. Step 4: Simplify right side
    214,970.33x = 23,481,523,244.34
  5. Step 5: Solve for x
    x = 23,481,523,244.34/214,970.33
  6. Step 6: Final answer
    x = 109,231.46

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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.