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Finding the Fourth Proportional to 355,097.59, 532,295.75 and 141,736.97

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Solution

The fourth proportional to 355,097.59, 532,295.75 and 141,736.97 is: 212,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,097.59 : 532,295.75 = 141,736.97 : x
  2. Step 2: Convert to fraction form
    355,097.59/532,295.75 = 141,736.97/x
  3. Step 3: Cross multiply
    355,097.59x = 532,295.75 × 141,736.97
  4. Step 4: Simplify right side
    355,097.59x = 75,445,988,433.96
  5. Step 5: Solve for x
    x = 75,445,988,433.96/355,097.59
  6. Step 6: Final answer
    x = 212,465.51

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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.