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Finding the Fourth Proportional to 117,885.16, 176,784 and 50,408.92

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Solution

The fourth proportional to 117,885.16, 176,784 and 50,408.92 is: 75,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,885.16 : 176,784 = 50,408.92 : x
  2. Step 2: Convert to fraction form
    117,885.16/176,784 = 50,408.92/x
  3. Step 3: Cross multiply
    117,885.16x = 176,784 × 50,408.92
  4. Step 4: Simplify right side
    117,885.16x = 8,911,490,513.28
  5. Step 5: Solve for x
    x = 8,911,490,513.28/117,885.16
  6. Step 6: Final answer
    x = 75,594.68

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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.