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Finding the Fourth Proportional to 78,546.70, 109,732.10 and 78,546.70

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Solution

The fourth proportional to 78,546.70, 109,732.10 and 78,546.70 is: 109,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.70 : 109,732.10 = 78,546.70 : x
  2. Step 2: Convert to fraction form
    78,546.70/109,732.10 = 78,546.70/x
  3. Step 3: Cross multiply
    78,546.70x = 109,732.10 × 78,546.70
  4. Step 4: Simplify right side
    78,546.70x = 8,619,094,339.07
  5. Step 5: Solve for x
    x = 8,619,094,339.07/78,546.70
  6. Step 6: Final answer
    x = 109,732.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.