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Finding the Fourth Proportional to 73,265.10, 102,778.50 and 73,265.10

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Solution

The fourth proportional to 73,265.10, 102,778.50 and 73,265.10 is: 102,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,265.10 : 102,778.50 = 73,265.10 : x
  2. Step 2: Convert to fraction form
    73,265.10/102,778.50 = 73,265.10/x
  3. Step 3: Cross multiply
    73,265.10x = 102,778.50 × 73,265.10
  4. Step 4: Simplify right side
    73,265.10x = 7,530,077,080.35
  5. Step 5: Solve for x
    x = 7,530,077,080.35/73,265.10
  6. Step 6: Final answer
    x = 102,778.50

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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.