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Finding the Fourth Proportional to 140,601.96, 210,859.17 and 40,769.06

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Solution

The fourth proportional to 140,601.96, 210,859.17 and 40,769.06 is: 61,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,601.96 : 210,859.17 = 40,769.06 : x
  2. Step 2: Convert to fraction form
    140,601.96/210,859.17 = 40,769.06/x
  3. Step 3: Cross multiply
    140,601.96x = 210,859.17 × 40,769.06
  4. Step 4: Simplify right side
    140,601.96x = 8,596,528,946.10
  5. Step 5: Solve for x
    x = 8,596,528,946.10/140,601.96
  6. Step 6: Final answer
    x = 61,140.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.