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Finding the Fourth Proportional to 331,172, 496,804.72 and 106,457.12

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Solution

The fourth proportional to 331,172, 496,804.72 and 106,457.12 is: 159,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,172 : 496,804.72 = 106,457.12 : x
  2. Step 2: Convert to fraction form
    331,172/496,804.72 = 106,457.12/x
  3. Step 3: Cross multiply
    331,172x = 496,804.72 × 106,457.12
  4. Step 4: Simplify right side
    331,172x = 52,888,399,693.61
  5. Step 5: Solve for x
    x = 52,888,399,693.61/331,172
  6. Step 6: Final answer
    x = 159,700.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.