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Finding the Fourth Proportional to 128,197.93, 192,315.12 and 39,458.83

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Solution

The fourth proportional to 128,197.93, 192,315.12 and 39,458.83 is: 59,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,197.93 : 192,315.12 = 39,458.83 : x
  2. Step 2: Convert to fraction form
    128,197.93/192,315.12 = 39,458.83/x
  3. Step 3: Cross multiply
    128,197.93x = 192,315.12 × 39,458.83
  4. Step 4: Simplify right side
    128,197.93x = 7,588,529,626.51
  5. Step 5: Solve for x
    x = 7,588,529,626.51/128,197.93
  6. Step 6: Final answer
    x = 59,193.85

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1.5x scale

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.