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Finding the Fourth Proportional to 192,069.30, 288,103.95 and 51,827.70

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Solution

The fourth proportional to 192,069.30, 288,103.95 and 51,827.70 is: 77,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,069.30 : 288,103.95 = 51,827.70 : x
  2. Step 2: Convert to fraction form
    192,069.30/288,103.95 = 51,827.70/x
  3. Step 3: Cross multiply
    192,069.30x = 288,103.95 × 51,827.70
  4. Step 4: Simplify right side
    192,069.30x = 14,931,765,089.42
  5. Step 5: Solve for x
    x = 14,931,765,089.42/192,069.30
  6. Step 6: Final answer
    x = 77,741.55

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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.