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Finding the Fourth Proportional to 130,595.50, 195,893.22 and 86,211.86

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Solution

The fourth proportional to 130,595.50, 195,893.22 and 86,211.86 is: 129,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,595.50 : 195,893.22 = 86,211.86 : x
  2. Step 2: Convert to fraction form
    130,595.50/195,893.22 = 86,211.86/x
  3. Step 3: Cross multiply
    130,595.50x = 195,893.22 × 86,211.86
  4. Step 4: Simplify right side
    130,595.50x = 16,888,318,857.59
  5. Step 5: Solve for x
    x = 16,888,318,857.59/130,595.50
  6. Step 6: Final answer
    x = 129,317.77

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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.