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Finding the Fourth Proportional to 261,921.38, 361,454.01 and 148,744.94

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Solution

The fourth proportional to 261,921.38, 361,454.01 and 148,744.94 is: 205,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,921.38 : 361,454.01 = 148,744.94 : x
  2. Step 2: Convert to fraction form
    261,921.38/361,454.01 = 148,744.94/x
  3. Step 3: Cross multiply
    261,921.38x = 361,454.01 × 148,744.94
  4. Step 4: Simplify right side
    261,921.38x = 53,764,455,030.21
  5. Step 5: Solve for x
    x = 53,764,455,030.21/261,921.38
  6. Step 6: Final answer
    x = 205,269.44

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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.