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Finding the Fourth Proportional to 261,168, 360,411.84 and 155,184

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Solution

The fourth proportional to 261,168, 360,411.84 and 155,184 is: 214,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,168 : 360,411.84 = 155,184 : x
  2. Step 2: Convert to fraction form
    261,168/360,411.84 = 155,184/x
  3. Step 3: Cross multiply
    261,168x = 360,411.84 × 155,184
  4. Step 4: Simplify right side
    261,168x = 55,930,150,978.56
  5. Step 5: Solve for x
    x = 55,930,150,978.56/261,168
  6. Step 6: Final answer
    x = 214,153.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.