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Finding the Fourth Proportional to 144,785.60, 199,766.28 and 83,516.96

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Solution

The fourth proportional to 144,785.60, 199,766.28 and 83,516.96 is: 115,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,785.60 : 199,766.28 = 83,516.96 : x
  2. Step 2: Convert to fraction form
    144,785.60/199,766.28 = 83,516.96/x
  3. Step 3: Cross multiply
    144,785.60x = 199,766.28 × 83,516.96
  4. Step 4: Simplify right side
    144,785.60x = 16,683,872,416.11
  5. Step 5: Solve for x
    x = 16,683,872,416.11/144,785.60
  6. Step 6: Final answer
    x = 115,231.57

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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.