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Finding the Fourth Proportional to 253,771.41, 350,178.87 and 151,776.63

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Solution

The fourth proportional to 253,771.41, 350,178.87 and 151,776.63 is: 209,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,771.41 : 350,178.87 = 151,776.63 : x
  2. Step 2: Convert to fraction form
    253,771.41/350,178.87 = 151,776.63/x
  3. Step 3: Cross multiply
    253,771.41x = 350,178.87 × 151,776.63
  4. Step 4: Simplify right side
    253,771.41x = 53,148,968,785.81
  5. Step 5: Solve for x
    x = 53,148,968,785.81/253,771.41
  6. Step 6: Final answer
    x = 209,436.39

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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.