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Finding the Fourth Proportional to 128,175.87, 192,290.85 and 48,214.59

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Solution

The fourth proportional to 128,175.87, 192,290.85 and 48,214.59 is: 72,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,175.87 : 192,290.85 = 48,214.59 : x
  2. Step 2: Convert to fraction form
    128,175.87/192,290.85 = 48,214.59/x
  3. Step 3: Cross multiply
    128,175.87x = 192,290.85 × 48,214.59
  4. Step 4: Simplify right side
    128,175.87x = 9,271,224,493.50
  5. Step 5: Solve for x
    x = 9,271,224,493.50/128,175.87
  6. Step 6: Final answer
    x = 72,332.06

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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.