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Finding the Fourth Proportional to 254,522.32, 351,251.40 and 141,346

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Solution

The fourth proportional to 254,522.32, 351,251.40 and 141,346 is: 195,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,522.32 : 351,251.40 = 141,346 : x
  2. Step 2: Convert to fraction form
    254,522.32/351,251.40 = 141,346/x
  3. Step 3: Cross multiply
    254,522.32x = 351,251.40 × 141,346
  4. Step 4: Simplify right side
    254,522.32x = 49,647,980,384.40
  5. Step 5: Solve for x
    x = 49,647,980,384.40/254,522.32
  6. Step 6: Final answer
    x = 195,063.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.