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Finding the Fourth Proportional to 117,952.16, 176,780.69 and 92,893.24

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Solution

The fourth proportional to 117,952.16, 176,780.69 and 92,893.24 is: 139,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,952.16 : 176,780.69 = 92,893.24 : x
  2. Step 2: Convert to fraction form
    117,952.16/176,780.69 = 92,893.24/x
  3. Step 3: Cross multiply
    117,952.16x = 176,780.69 × 92,893.24
  4. Step 4: Simplify right side
    117,952.16x = 16,421,730,157.12
  5. Step 5: Solve for x
    x = 16,421,730,157.12/117,952.16
  6. Step 6: Final answer
    x = 139,223.66

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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.