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Finding the Fourth Proportional to 262,293.96, 361,996.38 and 149,133.72

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Solution

The fourth proportional to 262,293.96, 361,996.38 and 149,133.72 is: 205,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,293.96 : 361,996.38 = 149,133.72 : x
  2. Step 2: Convert to fraction form
    262,293.96/361,996.38 = 149,133.72/x
  3. Step 3: Cross multiply
    262,293.96x = 361,996.38 × 149,133.72
  4. Step 4: Simplify right side
    262,293.96x = 53,985,866,775.93
  5. Step 5: Solve for x
    x = 53,985,866,775.93/262,293.96
  6. Step 6: Final answer
    x = 205,822.00

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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.