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Finding the Fourth Proportional to 202,969.42, 280,092 and 112,329.16

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Solution

The fourth proportional to 202,969.42, 280,092 and 112,329.16 is: 155,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.42 : 280,092 = 112,329.16 : x
  2. Step 2: Convert to fraction form
    202,969.42/280,092 = 112,329.16/x
  3. Step 3: Cross multiply
    202,969.42x = 280,092 × 112,329.16
  4. Step 4: Simplify right side
    202,969.42x = 31,462,499,082.72
  5. Step 5: Solve for x
    x = 31,462,499,082.72/202,969.42
  6. Step 6: Final answer
    x = 155,011.03

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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.