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Finding the Fourth Proportional to 265,742, 366,723.96 and 146,510

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Solution

The fourth proportional to 265,742, 366,723.96 and 146,510 is: 202,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,742 : 366,723.96 = 146,510 : x
  2. Step 2: Convert to fraction form
    265,742/366,723.96 = 146,510/x
  3. Step 3: Cross multiply
    265,742x = 366,723.96 × 146,510
  4. Step 4: Simplify right side
    265,742x = 53,728,727,379.60
  5. Step 5: Solve for x
    x = 53,728,727,379.60/265,742
  6. Step 6: Final answer
    x = 202,183.80

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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.