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Finding the Fourth Proportional to 203,505.15, 305,184.82 and 103,632.15

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Solution

The fourth proportional to 203,505.15, 305,184.82 and 103,632.15 is: 155,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,505.15 : 305,184.82 = 103,632.15 : x
  2. Step 2: Convert to fraction form
    203,505.15/305,184.82 = 103,632.15/x
  3. Step 3: Cross multiply
    203,505.15x = 305,184.82 × 103,632.15
  4. Step 4: Simplify right side
    203,505.15x = 31,626,959,043.96
  5. Step 5: Solve for x
    x = 31,626,959,043.96/203,505.15
  6. Step 6: Final answer
    x = 155,411.10

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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.