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Finding the Fourth Proportional to 216,462.52, 298,692.40 and 119,653.30

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Solution

The fourth proportional to 216,462.52, 298,692.40 and 119,653.30 is: 165,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,462.52 : 298,692.40 = 119,653.30 : x
  2. Step 2: Convert to fraction form
    216,462.52/298,692.40 = 119,653.30/x
  3. Step 3: Cross multiply
    216,462.52x = 298,692.40 × 119,653.30
  4. Step 4: Simplify right side
    216,462.52x = 35,739,529,851.46
  5. Step 5: Solve for x
    x = 35,739,529,851.46/216,462.52
  6. Step 6: Final answer
    x = 165,107.25

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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.