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Finding the Fourth Proportional to 253,462.17, 349,788.84 and 140,284.89

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Solution

The fourth proportional to 253,462.17, 349,788.84 and 140,284.89 is: 193,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,462.17 : 349,788.84 = 140,284.89 : x
  2. Step 2: Convert to fraction form
    253,462.17/349,788.84 = 140,284.89/x
  3. Step 3: Cross multiply
    253,462.17x = 349,788.84 × 140,284.89
  4. Step 4: Simplify right side
    253,462.17x = 49,070,088,942.63
  5. Step 5: Solve for x
    x = 49,070,088,942.63/253,462.17
  6. Step 6: Final answer
    x = 193,599.26

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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.