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Finding the Fourth Proportional to 262,103.31, 361,705.10 and 148,926.87

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Solution

The fourth proportional to 262,103.31, 361,705.10 and 148,926.87 is: 205,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,103.31 : 361,705.10 = 148,926.87 : x
  2. Step 2: Convert to fraction form
    262,103.31/361,705.10 = 148,926.87/x
  3. Step 3: Cross multiply
    262,103.31x = 361,705.10 × 148,926.87
  4. Step 4: Simplify right side
    262,103.31x = 53,867,607,661.40
  5. Step 5: Solve for x
    x = 53,867,607,661.40/262,103.31
  6. Step 6: Final answer
    x = 205,520.52

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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.