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Finding the Fourth Proportional to 156,878.55, 216,489.24 and 85,260.38

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Solution

The fourth proportional to 156,878.55, 216,489.24 and 85,260.38 is: 117,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878.55 : 216,489.24 = 85,260.38 : x
  2. Step 2: Convert to fraction form
    156,878.55/216,489.24 = 85,260.38/x
  3. Step 3: Cross multiply
    156,878.55x = 216,489.24 × 85,260.38
  4. Step 4: Simplify right side
    156,878.55x = 18,457,953,785.87
  5. Step 5: Solve for x
    x = 18,457,953,785.87/156,878.55
  6. Step 6: Final answer
    x = 117,657.60

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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.