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Finding the Fourth Proportional to 266,357.82, 367,557.84 and 145,475.04

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Solution

The fourth proportional to 266,357.82, 367,557.84 and 145,475.04 is: 200,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,357.82 : 367,557.84 = 145,475.04 : x
  2. Step 2: Convert to fraction form
    266,357.82/367,557.84 = 145,475.04/x
  3. Step 3: Cross multiply
    266,357.82x = 367,557.84 × 145,475.04
  4. Step 4: Simplify right side
    266,357.82x = 53,470,491,476.31
  5. Step 5: Solve for x
    x = 53,470,491,476.31/266,357.82
  6. Step 6: Final answer
    x = 200,746.84

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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.