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Finding the Fourth Proportional to 264,924.14, 365,604.90 and 151,768.76

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Solution

The fourth proportional to 264,924.14, 365,604.90 and 151,768.76 is: 209,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,924.14 : 365,604.90 = 151,768.76 : x
  2. Step 2: Convert to fraction form
    264,924.14/365,604.90 = 151,768.76/x
  3. Step 3: Cross multiply
    264,924.14x = 365,604.90 × 151,768.76
  4. Step 4: Simplify right side
    264,924.14x = 55,487,402,322.92
  5. Step 5: Solve for x
    x = 55,487,402,322.92/264,924.14
  6. Step 6: Final answer
    x = 209,446.38

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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.