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Finding the Fourth Proportional to 145,193.94, 217,847.25 and 56,509.74

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Solution

The fourth proportional to 145,193.94, 217,847.25 and 56,509.74 is: 84,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.94 : 217,847.25 = 56,509.74 : x
  2. Step 2: Convert to fraction form
    145,193.94/217,847.25 = 56,509.74/x
  3. Step 3: Cross multiply
    145,193.94x = 217,847.25 × 56,509.74
  4. Step 4: Simplify right side
    145,193.94x = 12,310,491,457.22
  5. Step 5: Solve for x
    x = 12,310,491,457.22/145,193.94
  6. Step 6: Final answer
    x = 84,786.54

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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.