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Finding the Fourth Proportional to 171,175.68, 256,711.68 and 46,500.48

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Solution

The fourth proportional to 171,175.68, 256,711.68 and 46,500.48 is: 69,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,175.68 : 256,711.68 = 46,500.48 : x
  2. Step 2: Convert to fraction form
    171,175.68/256,711.68 = 46,500.48/x
  3. Step 3: Cross multiply
    171,175.68x = 256,711.68 × 46,500.48
  4. Step 4: Simplify right side
    171,175.68x = 11,937,216,341.61
  5. Step 5: Solve for x
    x = 11,937,216,341.61/171,175.68
  6. Step 6: Final answer
    x = 69,736.64

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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.