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Finding the Fourth Proportional to 269,271.86, 371,616.53 and 148,434.64

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Solution

The fourth proportional to 269,271.86, 371,616.53 and 148,434.64 is: 204,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,271.86 : 371,616.53 = 148,434.64 : x
  2. Step 2: Convert to fraction form
    269,271.86/371,616.53 = 148,434.64/x
  3. Step 3: Cross multiply
    269,271.86x = 371,616.53 × 148,434.64
  4. Step 4: Simplify right side
    269,271.86x = 55,160,764,177.38
  5. Step 5: Solve for x
    x = 55,160,764,177.38/269,271.86
  6. Step 6: Final answer
    x = 204,851.58

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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.