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Finding the Fourth Proportional to 262,281.42, 361,854.81 and 154,797.66

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Solution

The fourth proportional to 262,281.42, 361,854.81 and 154,797.66 is: 213,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,281.42 : 361,854.81 = 154,797.66 : x
  2. Step 2: Convert to fraction form
    262,281.42/361,854.81 = 154,797.66/x
  3. Step 3: Cross multiply
    262,281.42x = 361,854.81 × 154,797.66
  4. Step 4: Simplify right side
    262,281.42x = 56,014,277,847.74
  5. Step 5: Solve for x
    x = 56,014,277,847.74/262,281.42
  6. Step 6: Final answer
    x = 213,565.56

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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.