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Finding the Fourth Proportional to 265,741.50, 366,723.27 and 146,509.50

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Solution

The fourth proportional to 265,741.50, 366,723.27 and 146,509.50 is: 202,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,741.50 : 366,723.27 = 146,509.50 : x
  2. Step 2: Convert to fraction form
    265,741.50/366,723.27 = 146,509.50/x
  3. Step 3: Cross multiply
    265,741.50x = 366,723.27 × 146,509.50
  4. Step 4: Simplify right side
    265,741.50x = 53,728,442,926.07
  5. Step 5: Solve for x
    x = 53,728,442,926.07/265,741.50
  6. Step 6: Final answer
    x = 202,183.11

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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.