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Finding the Fourth Proportional to 73,412.70, 102,846.90 and 73,412.70

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Solution

The fourth proportional to 73,412.70, 102,846.90 and 73,412.70 is: 102,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,412.70 : 102,846.90 = 73,412.70 : x
  2. Step 2: Convert to fraction form
    73,412.70/102,846.90 = 73,412.70/x
  3. Step 3: Cross multiply
    73,412.70x = 102,846.90 × 73,412.70
  4. Step 4: Simplify right side
    73,412.70x = 7,550,268,615.63
  5. Step 5: Solve for x
    x = 7,550,268,615.63/73,412.70
  6. Step 6: Final answer
    x = 102,846.90

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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.