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Finding the Fourth Proportional to 265,888.14, 366,926.78 and 145,032.02

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Solution

The fourth proportional to 265,888.14, 366,926.78 and 145,032.02 is: 200,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,888.14 : 366,926.78 = 145,032.02 : x
  2. Step 2: Convert to fraction form
    265,888.14/366,926.78 = 145,032.02/x
  3. Step 3: Cross multiply
    265,888.14x = 366,926.78 × 145,032.02
  4. Step 4: Simplify right side
    265,888.14x = 53,216,131,183.61
  5. Step 5: Solve for x
    x = 53,216,131,183.61/265,888.14
  6. Step 6: Final answer
    x = 200,144.81

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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.