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Finding the Fourth Proportional to 262,205.96, 361,875.30 and 149,045.72

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Solution

The fourth proportional to 262,205.96, 361,875.30 and 149,045.72 is: 205,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,205.96 : 361,875.30 = 149,045.72 : x
  2. Step 2: Convert to fraction form
    262,205.96/361,875.30 = 149,045.72/x
  3. Step 3: Cross multiply
    262,205.96x = 361,875.30 × 149,045.72
  4. Step 4: Simplify right side
    262,205.96x = 53,935,964,638.72
  5. Step 5: Solve for x
    x = 53,935,964,638.72/262,205.96
  6. Step 6: Final answer
    x = 205,700.76

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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.