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Finding the Fourth Proportional to 262,210.56, 361,849.80 and 149,055.12

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Solution

The fourth proportional to 262,210.56, 361,849.80 and 149,055.12 is: 205,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,210.56 : 361,849.80 = 149,055.12 : x
  2. Step 2: Convert to fraction form
    262,210.56/361,849.80 = 149,055.12/x
  3. Step 3: Cross multiply
    262,210.56x = 361,849.80 × 149,055.12
  4. Step 4: Simplify right side
    262,210.56x = 53,935,565,360.98
  5. Step 5: Solve for x
    x = 53,935,565,360.98/262,210.56
  6. Step 6: Final answer
    x = 205,695.63

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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.