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Finding the Fourth Proportional to 264,102, 364,461.36 and 150,924.48

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Solution

The fourth proportional to 264,102, 364,461.36 and 150,924.48 is: 208,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102 : 364,461.36 = 150,924.48 : x
  2. Step 2: Convert to fraction form
    264,102/364,461.36 = 150,924.48/x
  3. Step 3: Cross multiply
    264,102x = 364,461.36 × 150,924.48
  4. Step 4: Simplify right side
    264,102x = 55,006,141,238.09
  5. Step 5: Solve for x
    x = 55,006,141,238.09/264,102
  6. Step 6: Final answer
    x = 208,276.13

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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.