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Finding the Fourth Proportional to 253,306.14, 349,505.25 and 151,311.64

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Solution

The fourth proportional to 253,306.14, 349,505.25 and 151,311.64 is: 208,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,306.14 : 349,505.25 = 151,311.64 : x
  2. Step 2: Convert to fraction form
    253,306.14/349,505.25 = 151,311.64/x
  3. Step 3: Cross multiply
    253,306.14x = 349,505.25 × 151,311.64
  4. Step 4: Simplify right side
    253,306.14x = 52,884,212,566.11
  5. Step 5: Solve for x
    x = 52,884,212,566.11/253,306.14
  6. Step 6: Final answer
    x = 208,775.88

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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.