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Finding the Fourth Proportional to 266,076.96, 367,193.76 and 145,225.92

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Solution

The fourth proportional to 266,076.96, 367,193.76 and 145,225.92 is: 200,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,076.96 : 367,193.76 = 145,225.92 : x
  2. Step 2: Convert to fraction form
    266,076.96/367,193.76 = 145,225.92/x
  3. Step 3: Cross multiply
    266,076.96x = 367,193.76 × 145,225.92
  4. Step 4: Simplify right side
    266,076.96x = 53,326,051,614.26
  5. Step 5: Solve for x
    x = 53,326,051,614.26/266,076.96
  6. Step 6: Final answer
    x = 200,415.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.