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Finding the Fourth Proportional to 136,026, 204,050.76 and 37,530

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Solution

The fourth proportional to 136,026, 204,050.76 and 37,530 is: 56,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,026 : 204,050.76 = 37,530 : x
  2. Step 2: Convert to fraction form
    136,026/204,050.76 = 37,530/x
  3. Step 3: Cross multiply
    136,026x = 204,050.76 × 37,530
  4. Step 4: Simplify right side
    136,026x = 7,658,025,022.80
  5. Step 5: Solve for x
    x = 7,658,025,022.80/136,026
  6. Step 6: Final answer
    x = 56,298.24

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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.