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Finding the Fourth Proportional to 450,108, 675,168.48 and 117,684

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Solution

The fourth proportional to 450,108, 675,168.48 and 117,684 is: 176,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,108 : 675,168.48 = 117,684 : x
  2. Step 2: Convert to fraction form
    450,108/675,168.48 = 117,684/x
  3. Step 3: Cross multiply
    450,108x = 675,168.48 × 117,684
  4. Step 4: Simplify right side
    450,108x = 79,456,527,400.32
  5. Step 5: Solve for x
    x = 79,456,527,400.32/450,108
  6. Step 6: Final answer
    x = 176,527.69

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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.