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Finding the Fourth Proportional to 219,963, 303,549.75 and 119,361

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Solution

The fourth proportional to 219,963, 303,549.75 and 119,361 is: 164,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,963 : 303,549.75 = 119,361 : x
  2. Step 2: Convert to fraction form
    219,963/303,549.75 = 119,361/x
  3. Step 3: Cross multiply
    219,963x = 303,549.75 × 119,361
  4. Step 4: Simplify right side
    219,963x = 36,232,001,709.75
  5. Step 5: Solve for x
    x = 36,232,001,709.75/219,963
  6. Step 6: Final answer
    x = 164,718.62

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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.