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Finding the Fourth Proportional to 145,108.50, 200,262.32 and 80,590.19

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Solution

The fourth proportional to 145,108.50, 200,262.32 and 80,590.19 is: 111,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108.50 : 200,262.32 = 80,590.19 : x
  2. Step 2: Convert to fraction form
    145,108.50/200,262.32 = 80,590.19/x
  3. Step 3: Cross multiply
    145,108.50x = 200,262.32 × 80,590.19
  4. Step 4: Simplify right side
    145,108.50x = 16,139,177,014.38
  5. Step 5: Solve for x
    x = 16,139,177,014.38/145,108.50
  6. Step 6: Final answer
    x = 111,221.44

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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.