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Finding the Fourth Proportional to 156,988.64, 216,645.86 and 85,370.21

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Solution

The fourth proportional to 156,988.64, 216,645.86 and 85,370.21 is: 117,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988.64 : 216,645.86 = 85,370.21 : x
  2. Step 2: Convert to fraction form
    156,988.64/216,645.86 = 85,370.21/x
  3. Step 3: Cross multiply
    156,988.64x = 216,645.86 × 85,370.21
  4. Step 4: Simplify right side
    156,988.64x = 18,495,102,563.83
  5. Step 5: Solve for x
    x = 18,495,102,563.83/156,988.64
  6. Step 6: Final answer
    x = 117,811.73

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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.