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Finding the Fourth Proportional to 216,576.43, 298,866.85 and 119,774.00

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Solution

The fourth proportional to 216,576.43, 298,866.85 and 119,774.00 is: 165,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,576.43 : 298,866.85 = 119,774.00 : x
  2. Step 2: Convert to fraction form
    216,576.43/298,866.85 = 119,774.00/x
  3. Step 3: Cross multiply
    216,576.43x = 298,866.85 × 119,774.00
  4. Step 4: Simplify right side
    216,576.43x = 35,796,478,539.63
  5. Step 5: Solve for x
    x = 35,796,478,539.63/216,576.43
  6. Step 6: Final answer
    x = 165,283.35

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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.