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Finding the Fourth Proportional to 129,444.16, 194,192.16 and 40,720

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Solution

The fourth proportional to 129,444.16, 194,192.16 and 40,720 is: 61,088.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,444.16 : 194,192.16 = 40,720 : x
  2. Step 2: Convert to fraction form
    129,444.16/194,192.16 = 40,720/x
  3. Step 3: Cross multiply
    129,444.16x = 194,192.16 × 40,720
  4. Step 4: Simplify right side
    129,444.16x = 7,907,504,755.20
  5. Step 5: Solve for x
    x = 7,907,504,755.20/129,444.16
  6. Step 6: Final answer
    x = 61,088.15

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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.