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Finding the Fourth Proportional to 240,248, 360,372.16 and 65,144

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Solution

The fourth proportional to 240,248, 360,372.16 and 65,144 is: 97,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,248 : 360,372.16 = 65,144 : x
  2. Step 2: Convert to fraction form
    240,248/360,372.16 = 65,144/x
  3. Step 3: Cross multiply
    240,248x = 360,372.16 × 65,144
  4. Step 4: Simplify right side
    240,248x = 23,476,083,991.04
  5. Step 5: Solve for x
    x = 23,476,083,991.04/240,248
  6. Step 6: Final answer
    x = 97,716.04

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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.