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Finding the Fourth Proportional to 130,137.60, 195,206.40 and 85,814.40

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Solution

The fourth proportional to 130,137.60, 195,206.40 and 85,814.40 is: 128,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,137.60 : 195,206.40 = 85,814.40 : x
  2. Step 2: Convert to fraction form
    130,137.60/195,206.40 = 85,814.40/x
  3. Step 3: Cross multiply
    130,137.60x = 195,206.40 × 85,814.40
  4. Step 4: Simplify right side
    130,137.60x = 16,751,520,092.16
  5. Step 5: Solve for x
    x = 16,751,520,092.16/130,137.60
  6. Step 6: Final answer
    x = 128,721.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.