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Finding the Fourth Proportional to 134,840.72, 202,289.88 and 51,734

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Solution

The fourth proportional to 134,840.72, 202,289.88 and 51,734 is: 77,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,840.72 : 202,289.88 = 51,734 : x
  2. Step 2: Convert to fraction form
    134,840.72/202,289.88 = 51,734/x
  3. Step 3: Cross multiply
    134,840.72x = 202,289.88 × 51,734
  4. Step 4: Simplify right side
    134,840.72x = 10,465,264,651.92
  5. Step 5: Solve for x
    x = 10,465,264,651.92/134,840.72
  6. Step 6: Final answer
    x = 77,612.05

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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.