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Finding the Fourth Proportional to 264,001.16, 364,323.22 and 143,141.38

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Solution

The fourth proportional to 264,001.16, 364,323.22 and 143,141.38 is: 197,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,001.16 : 364,323.22 = 143,141.38 : x
  2. Step 2: Convert to fraction form
    264,001.16/364,323.22 = 143,141.38/x
  3. Step 3: Cross multiply
    264,001.16x = 364,323.22 × 143,141.38
  4. Step 4: Simplify right side
    264,001.16x = 52,149,728,476.84
  5. Step 5: Solve for x
    x = 52,149,728,476.84/264,001.16
  6. Step 6: Final answer
    x = 197,535.98

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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.