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Finding the Fourth Proportional to 331,142.16, 496,713.29 and 106,497.68

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Solution

The fourth proportional to 331,142.16, 496,713.29 and 106,497.68 is: 159,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,142.16 : 496,713.29 = 106,497.68 : x
  2. Step 2: Convert to fraction form
    331,142.16/496,713.29 = 106,497.68/x
  3. Step 3: Cross multiply
    331,142.16x = 496,713.29 × 106,497.68
  4. Step 4: Simplify right side
    331,142.16x = 52,898,809,994.11
  5. Step 5: Solve for x
    x = 52,898,809,994.11/331,142.16
  6. Step 6: Final answer
    x = 159,746.53

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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.