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Finding the Fourth Proportional to 266,506.71, 367,780.22 and 145,647.96

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Solution

The fourth proportional to 266,506.71, 367,780.22 and 145,647.96 is: 200,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,506.71 : 367,780.22 = 145,647.96 : x
  2. Step 2: Convert to fraction form
    266,506.71/367,780.22 = 145,647.96/x
  3. Step 3: Cross multiply
    266,506.71x = 367,780.22 × 145,647.96
  4. Step 4: Simplify right side
    266,506.71x = 53,566,438,043.11
  5. Step 5: Solve for x
    x = 53,566,438,043.11/266,506.71
  6. Step 6: Final answer
    x = 200,994.71

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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.