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Finding the Fourth Proportional to 364,039.79, 545,630.78 and 164,126.12

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Solution

The fourth proportional to 364,039.79, 545,630.78 and 164,126.12 is: 245,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,039.79 : 545,630.78 = 164,126.12 : x
  2. Step 2: Convert to fraction form
    364,039.79/545,630.78 = 164,126.12/x
  3. Step 3: Cross multiply
    364,039.79x = 545,630.78 × 164,126.12
  4. Step 4: Simplify right side
    364,039.79x = 89,552,260,145.82
  5. Step 5: Solve for x
    x = 89,552,260,145.82/364,039.79
  6. Step 6: Final answer
    x = 245,995.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.