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Finding the Fourth Proportional to 117,702.17, 176,316.87 and 54,433.61

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Solution

The fourth proportional to 117,702.17, 176,316.87 and 54,433.61 is: 81,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.17 : 176,316.87 = 54,433.61 : x
  2. Step 2: Convert to fraction form
    117,702.17/176,316.87 = 54,433.61/x
  3. Step 3: Cross multiply
    117,702.17x = 176,316.87 × 54,433.61
  4. Step 4: Simplify right side
    117,702.17x = 9,597,563,738.00
  5. Step 5: Solve for x
    x = 9,597,563,738.00/117,702.17
  6. Step 6: Final answer
    x = 81,541.09

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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.