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Finding the Fourth Proportional to 156,909.88, 216,539.84 and 85,294.72

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Solution

The fourth proportional to 156,909.88, 216,539.84 and 85,294.72 is: 117,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909.88 : 216,539.84 = 85,294.72 : x
  2. Step 2: Convert to fraction form
    156,909.88/216,539.84 = 85,294.72/x
  3. Step 3: Cross multiply
    156,909.88x = 216,539.84 × 85,294.72
  4. Step 4: Simplify right side
    156,909.88x = 18,469,705,021.64
  5. Step 5: Solve for x
    x = 18,469,705,021.64/156,909.88
  6. Step 6: Final answer
    x = 117,709.00

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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.