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Finding the Fourth Proportional to 171,384.86, 257,074.53 and 46,725.86

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Solution

The fourth proportional to 171,384.86, 257,074.53 and 46,725.86 is: 70,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,384.86 : 257,074.53 = 46,725.86 : x
  2. Step 2: Convert to fraction form
    171,384.86/257,074.53 = 46,725.86/x
  3. Step 3: Cross multiply
    171,384.86x = 257,074.53 × 46,725.86
  4. Step 4: Simplify right side
    171,384.86x = 12,012,027,212.97
  5. Step 5: Solve for x
    x = 12,012,027,212.97/171,384.86
  6. Step 6: Final answer
    x = 70,088.03

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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.