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Finding the Fourth Proportional to 118,955.25, 178,433.01 and 35,849.25

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Solution

The fourth proportional to 118,955.25, 178,433.01 and 35,849.25 is: 53,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,955.25 : 178,433.01 = 35,849.25 : x
  2. Step 2: Convert to fraction form
    118,955.25/178,433.01 = 35,849.25/x
  3. Step 3: Cross multiply
    118,955.25x = 178,433.01 × 35,849.25
  4. Step 4: Simplify right side
    118,955.25x = 6,396,689,583.74
  5. Step 5: Solve for x
    x = 6,396,689,583.74/118,955.25
  6. Step 6: Final answer
    x = 53,773.92

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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.