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Finding the Fourth Proportional to 220,463.02, 304,237.46 and 119,861.02

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Solution

The fourth proportional to 220,463.02, 304,237.46 and 119,861.02 is: 165,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,463.02 : 304,237.46 = 119,861.02 : x
  2. Step 2: Convert to fraction form
    220,463.02/304,237.46 = 119,861.02/x
  3. Step 3: Cross multiply
    220,463.02x = 304,237.46 × 119,861.02
  4. Step 4: Simplify right side
    220,463.02x = 36,466,212,277.81
  5. Step 5: Solve for x
    x = 36,466,212,277.81/220,463.02
  6. Step 6: Final answer
    x = 165,407.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.