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Finding the Fourth Proportional to 118,309.50, 177,465.47 and 35,203.50

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Solution

The fourth proportional to 118,309.50, 177,465.47 and 35,203.50 is: 52,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,309.50 : 177,465.47 = 35,203.50 : x
  2. Step 2: Convert to fraction form
    118,309.50/177,465.47 = 35,203.50/x
  3. Step 3: Cross multiply
    118,309.50x = 177,465.47 × 35,203.50
  4. Step 4: Simplify right side
    118,309.50x = 6,247,405,497.13
  5. Step 5: Solve for x
    x = 6,247,405,497.13/118,309.50
  6. Step 6: Final answer
    x = 52,805.61

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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.