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Finding the Fourth Proportional to 265,596.42, 366,513.75 and 144,735.24

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Solution

The fourth proportional to 265,596.42, 366,513.75 and 144,735.24 is: 199,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,596.42 : 366,513.75 = 144,735.24 : x
  2. Step 2: Convert to fraction form
    265,596.42/366,513.75 = 144,735.24/x
  3. Step 3: Cross multiply
    265,596.42x = 366,513.75 × 144,735.24
  4. Step 4: Simplify right side
    265,596.42x = 53,047,455,569.55
  5. Step 5: Solve for x
    x = 53,047,455,569.55/265,596.42
  6. Step 6: Final answer
    x = 199,729.56

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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.