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Finding the Fourth Proportional to 145,123, 200,265.98 and 80,590.60

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Solution

The fourth proportional to 145,123, 200,265.98 and 80,590.60 is: 111,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,123 : 200,265.98 = 80,590.60 : x
  2. Step 2: Convert to fraction form
    145,123/200,265.98 = 80,590.60/x
  3. Step 3: Cross multiply
    145,123x = 200,265.98 × 80,590.60
  4. Step 4: Simplify right side
    145,123x = 16,139,555,487.79
  5. Step 5: Solve for x
    x = 16,139,555,487.79/145,123
  6. Step 6: Final answer
    x = 111,212.94

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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.