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Finding the Fourth Proportional to 266,216.86, 367,381.06 and 145,358.99

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Solution

The fourth proportional to 266,216.86, 367,381.06 and 145,358.99 is: 200,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,216.86 : 367,381.06 = 145,358.99 : x
  2. Step 2: Convert to fraction form
    266,216.86/367,381.06 = 145,358.99/x
  3. Step 3: Cross multiply
    266,216.86x = 367,381.06 × 145,358.99
  4. Step 4: Simplify right side
    266,216.86x = 53,402,139,826.73
  5. Step 5: Solve for x
    x = 53,402,139,826.73/266,216.86
  6. Step 6: Final answer
    x = 200,596.39

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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.