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Finding the Fourth Proportional to 105,590.50, 145,727.04 and 60,274.96

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Solution

The fourth proportional to 105,590.50, 145,727.04 and 60,274.96 is: 83,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,590.50 : 145,727.04 = 60,274.96 : x
  2. Step 2: Convert to fraction form
    105,590.50/145,727.04 = 60,274.96/x
  3. Step 3: Cross multiply
    105,590.50x = 145,727.04 × 60,274.96
  4. Step 4: Simplify right side
    105,590.50x = 8,783,691,506.92
  5. Step 5: Solve for x
    x = 8,783,691,506.92/105,590.50
  6. Step 6: Final answer
    x = 83,186.38

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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.