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Finding the Fourth Proportional to 264,425.84, 364,911.45 and 143,567.36

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Solution

The fourth proportional to 264,425.84, 364,911.45 and 143,567.36 is: 198,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,425.84 : 364,911.45 = 143,567.36 : x
  2. Step 2: Convert to fraction form
    264,425.84/364,911.45 = 143,567.36/x
  3. Step 3: Cross multiply
    264,425.84x = 364,911.45 × 143,567.36
  4. Step 4: Simplify right side
    264,425.84x = 52,389,373,510.27
  5. Step 5: Solve for x
    x = 52,389,373,510.27/264,425.84
  6. Step 6: Final answer
    x = 198,125.01

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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.