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Finding the Fourth Proportional to 130,070.50, 195,101.40 and 55,142.44

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Solution

The fourth proportional to 130,070.50, 195,101.40 and 55,142.44 is: 82,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,070.50 : 195,101.40 = 55,142.44 : x
  2. Step 2: Convert to fraction form
    130,070.50/195,101.40 = 55,142.44/x
  3. Step 3: Cross multiply
    130,070.50x = 195,101.40 × 55,142.44
  4. Step 4: Simplify right side
    130,070.50x = 10,758,367,243.42
  5. Step 5: Solve for x
    x = 10,758,367,243.42/130,070.50
  6. Step 6: Final answer
    x = 82,711.82

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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.