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Finding the Fourth Proportional to 240,394.65, 360,769.14 and 114,035.28

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Solution

The fourth proportional to 240,394.65, 360,769.14 and 114,035.28 is: 171,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,394.65 : 360,769.14 = 114,035.28 : x
  2. Step 2: Convert to fraction form
    240,394.65/360,769.14 = 114,035.28/x
  3. Step 3: Cross multiply
    240,394.65x = 360,769.14 × 114,035.28
  4. Step 4: Simplify right side
    240,394.65x = 41,140,409,895.26
  5. Step 5: Solve for x
    x = 41,140,409,895.26/240,394.65
  6. Step 6: Final answer
    x = 171,136.96

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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.