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Finding the Fourth Proportional to 98,314.50, 147,434.22 and 35,122.86

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Solution

The fourth proportional to 98,314.50, 147,434.22 and 35,122.86 is: 52,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,314.50 : 147,434.22 = 35,122.86 : x
  2. Step 2: Convert to fraction form
    98,314.50/147,434.22 = 35,122.86/x
  3. Step 3: Cross multiply
    98,314.50x = 147,434.22 × 35,122.86
  4. Step 4: Simplify right side
    98,314.50x = 5,178,311,468.27
  5. Step 5: Solve for x
    x = 5,178,311,468.27/98,314.50
  6. Step 6: Final answer
    x = 52,670.88

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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.