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Finding the Fourth Proportional to 259,364.50, 388,953.16 and 109,616.38

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Solution

The fourth proportional to 259,364.50, 388,953.16 and 109,616.38 is: 164,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,364.50 : 388,953.16 = 109,616.38 : x
  2. Step 2: Convert to fraction form
    259,364.50/388,953.16 = 109,616.38/x
  3. Step 3: Cross multiply
    259,364.50x = 388,953.16 × 109,616.38
  4. Step 4: Simplify right side
    259,364.50x = 42,635,637,388.76
  5. Step 5: Solve for x
    x = 42,635,637,388.76/259,364.50
  6. Step 6: Final answer
    x = 164,385.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.