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Finding the Fourth Proportional to 156,314.69, 234,424.14 and 56,462.57

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Solution

The fourth proportional to 156,314.69, 234,424.14 and 56,462.57 is: 84,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,314.69 : 234,424.14 = 56,462.57 : x
  2. Step 2: Convert to fraction form
    156,314.69/234,424.14 = 56,462.57/x
  3. Step 3: Cross multiply
    156,314.69x = 234,424.14 × 56,462.57
  4. Step 4: Simplify right side
    156,314.69x = 13,236,189,414.44
  5. Step 5: Solve for x
    x = 13,236,189,414.44/156,314.69
  6. Step 6: Final answer
    x = 84,676.55

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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.